Wednesday, March 15, 2023

Season 9, Episode 10 Probabilities

Truth Booth #9

Mikey and Roz are no match, leaving the house in the same place they were last week. 2 possibilities left.
AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
AnissaMatchXXXXXXXXXX
BrookeXXXXXXXXMatchXX
CCXXXXX50.0%X50.0%XXX
CourtneyXXXMatchXXXXXXX
DanielleXXXXMatchXXXXXX
DewXXXXXX50.0%XXX50.0%
JordanneXXXXXX50.0%50.0%XXX
Julia RuthXMatchXXXXXXXXX
MijntjeXXXXXXXXXMatchX
RozXXXXX50.0%XXXX50.0%
TaylorXXMatchXXXXXXXX


Matchup Ceremony #9
  • Will - Dew
  • Mikey - Jordanne
  • Hamudi - Danielle (confirmed perfect match, repeat from ceremony 3)
  • Nathan - CC
  • Eduardo - Courtney (confirmed perfect match)
  • Leo - Roz (repeat from ceremonies 7 and 8)
  • Aqel - Anissa (confirmed perfect match, repeat from ceremonies 2, 3, 4, 5, 7, and 8)
With allusions to "doing this for the team" they're clearly attempting to send up a possibility that matches all of the past results.

Blackout probability: 0%
Instant win possible: Yes
Most likely number of lights: 7 or 11

And they win!
AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
AnissaMatchXXXXXXXXXX
BrookeXXXXXXXXMatchXX
CCXXXXXXXMatchXXX
CourtneyXXXMatchXXXXXXX
DanielleXXXXMatchXXXXXX
DewXXXXXXXXXXMatch
JordanneXXXXXXMatchXXXX
Julia RuthXMatchXXXXXXXXX
MijntjeXXXXXXXXXMatchX
RozXXXXXMatchXXXXX
TaylorXXMatchXXXXXXXX

Wednesday, March 8, 2023

Season 9, Episode 9 Probabilities

Truth Booth #8

Taylor goes into the Truth Booth with Clay (50%) instead of Jordanne and Eduardo (no match). It's a perfect match! Additionally, all 3 remaining possibilities have Danielle and Hamudi as a perfect match.
  1. CC - Leo, Courtney - Eduardo, Dew - Mikey, Jordanne - Nathan, Roz - Will
  2. CC - Eduardo, Courtney - Mikey, Dew - Leo, Jordanne - Nathan, Roz - Will
  3. CC - Nathan, Courtney - Eduardo, Dew - Will, Jordanne - Mikey, Roz - Leo

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
AnissaMatchXXXXXXXXXX
BrookeXXXXXXXXMatchXX
CCXXX33.3%X33.3%X33.3%XXX
CourtneyXXX66.7%XX33.3%XXXX
DanielleXXXXMatchXXXXXX
DewXXXXX33.3%33.3%XXX33.3%
JordanneXXXXXX33.3%66.7%XXX
Julia RuthXMatchXXXXXXXXX
MijntjeXXXXXXXXXMatchX
RozXXXXX33.3%XXXX66.7%
TaylorXXMatchXXXXXXXX


Matchup Ceremony #8
  • Jordanne - Eduardo (confirmed no match, repeat from ceremonies 3, 4, and 5)
  • Courtney - Hamudi (confirmed no match, repeat from ceremony 7)
  • Danielle - Nathan (confirmed no match)
  • Dew - Mikey
  • Roz - Leo (repeat from ceremony 7)
  • CC - Will (confirmed no match)
  • Anissa - Aqel (confirmed perfect match, repeat from ceremonies 2, 3, 4, 5, and 7)
Blackout probability: 0% (0 of 3)
Instant win possible: No
Maximum number of lights: 6
Most likely number of lights: 6

5 beams means it's combination #2 above, while 6 beams narrow it down to either #1 or #3.
AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
AnissaMatchXXXXXXXXXX
BrookeXXXXXXXXMatchXX
CCXXXXX50.0%X50.0%XXX
CourtneyXXXMatchXXXXXXX
DanielleXXXXMatchXXXXXX
DewXXXXXX50.0%XXX50.0%
JordanneXXXXXX50.0%50.0%XXX
Julia RuthXMatchXXXXXXXXX
MijntjeXXXXXXXXXMatchX
RozXXXXX50.0%XXXX50.0%
TaylorXXMatchXXXXXXXX

It's 6 beams, which means Courtney and Eduardo are a confirmed perfect match, and the 2 remaining possibilities are:
  1. CC - Leo, Dew - Mikey, Jordanne - Nathan, Roz - Will
  2. CC - Nathan, Dew - Will, Jordanne - Mikey, Roz - Leo

Wednesday, March 1, 2023

Season 9, Episode 8 Probabilities

Truth Booth #7

Hamudi and Mijntje go into the Truth Booth. They're a popular couple, but their odds went way down after sitting together in last week's Matchup Ceremony. No match! That brings it down to 519 possibilities.

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
Anissa39.3%X11.8%4.4%X5.4%6.7%20.2%X6.4%5.8%
BrookeXXXXXXXXMatchXX
CC10.2%XX11.8%14.8%10.8%3.9%25.0%X12.3%11.2%
CourtneyXX11.9%9.2%9.2%8.9%9.1%13.9%X7.5%30.3%
Danielle6.9%X15.2%9.6%30.8%XX21.0%X9.2%7.1%
Dew10.2%XX10.4%17.9%12.5%12.9%XX20.8%15.2%
Jordanne5.2%X13.5%25.4%9.8%6.0%10.2%19.8%X10.0%X
Julia RuthXMatchXXXXXXXXX
Mijntje9.1%X21.6%13.3%X10.4%20.6%XX11.8%13.3%
Roz10.0%XXX17.3%13.3%21.4%XX20.8%17.1%
Taylor9.1%X26.0%15.8%X32.8%15.2%XX1.2%X


Matchup Ceremony #7
Due to Sam leaving the house, they confirm his perfect match right away - it's Mijntje, who now has to leave the house. This brings it down to 61 combinations.
AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
Anissa42.6%X23.0%4.9%X3.3%4.9%16.4%XX4.9%
BrookeXXXXXXXXMatchXX
CC13.1%XX18.0%16.4%11.5%X27.9%XX13.1%
CourtneyXX11.5%11.5%3.3%8.2%11.5%19.7%XX34.4%
Danielle8.2%X19.7%8.2%47.5%XX11.5%XX4.9%
Dew14.8%XX27.9%6.6%11.5%23.0%XXX16.4%
Jordanne8.2%X19.7%23.0%8.2%3.3%13.1%24.6%XXX
Julia RuthXMatchXXXXXXXXX
MijntjeXXXXXXXXXMatchX
Roz4.9%XXX18.0%9.8%41.0%XXX26.2%
Taylor8.2%X26.2%6.6%X52.5%6.6%XXXX


Now on to the matchups:
  • Will - Danielle (repeat from ceremony 6)
  • Aqel - Anissa (repeat from ceremonies 2, 3, 4, and 5)
  • Hamudi - Courtney
  • Nathan - Jordanne
  • Leo - Roz
  • Clay - Taylor (repeat from ceremony 6)
  • Mikey - CC (repeat from ceremony 6)
  • Eduardo - Dew (repeat from ceremony 6)
Blackout probability: 18% (11 of 61)
Instant win possible: No, did not repeat enough couples from ceremony 3 or 5, too many from ceremony 6
Maximum number of lights: 7
Most likely number of lights: 4

It's a surprising 6 beams, which means only 6 combinations are left. All 6 combinations have Aqel and Anissa together, which means they're the first inferred perfect match.

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
AnissaMatchXXXXXXXXXX
BrookeXXXXXXXXMatchXX
CCXXX16.7%16.7%33.3%X33.3%XXX
CourtneyXX16.7%33.3%16.7%X33.3%XXXX
DanielleXX33.3%X66.7%XXXXXX
DewXXX50.0%X16.7%16.7%XXX16.7%
JordanneXXXXXX33.3%66.7%XXX
Julia RuthXMatchXXXXXXXXX
MijntjeXXXXXXXXXMatchX
RozXXXXX16.7%XXXX83.3%
TaylorXX50.0%XX33.3%16.7%XXXX

The 6 remaining possibilities are:
  1. CC - Hamudi, Courtney - Mikey, Danielle - Clay, Dew - Eduardo, Jordanne - Nathan, Roz - Will, Taylor - Leo
  2. CC - Nathan, Courtney - Hamudi, Danielle - Clay, Dew - Eduardo, Jordanne - Mikey, Roz - Will, Taylor - Leo
  3. CC - Leo, Courtney - Clay, Danielle - Hamudi, Dew - Eduardo, Jordanne - Nathan, Roz - Will, Taylor - Mikey
  4. CC - Leo, Courtney - Eduardo, Danielle - Hamudi, Dew - Mikey, Jordanne - Nathan, Roz - Will, Taylor - Clay
  5. CC - Eduardo, Courtney - Mikey, Danielle - Hamudi, Dew - Leo, Jordanne - Nathan, Roz - Will, Taylor - Clay
  6. CC - Nathan, Courtney - Eduardo, Danielle - Hamudi, Dew - Will, Jordanne - Mikey, Roz - Leo, Taylor - Clay

Wednesday, February 22, 2023

Season 9, Episode 7 Probabilities

Truth Booth #6

Brooke and Ollie are the top couple by the numbers, and Julia Ruth and Brendan agree, picking them for the Truth Booth. It's a perfect match!

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
Anissa37.8%X12.5%6.1%X5.0%7.2%17.8%X7.3%6.2%
BrookeXXXXXXXXMatchXX
CC9.6%XX12.4%14.6%10.2%3.3%26.1%X12.1%11.7%
CourtneyXX12.3%8.4%9.0%7.7%10.1%16.4%X7.3%28.7%
Danielle7.1%X15.7%9.4%27.6%XX20.2%X8.0%11.9%
Dew11.2%XX14.1%17.3%11.9%13.6%XX17.6%14.2%
Jordanne6.1%X14.3%22.9%9.8%7.8%10.8%19.5%X8.9%X
Julia RuthXMatchXXXXXXXXX
Mijntje10.2%X19.9%11.7%6.5%9.4%20.3%XX10.9%11.1%
Roz8.2%XXX15.2%12.4%20.9%XX27.1%16.2%
Taylor9.6%X25.3%14.9%X35.6%13.7%XX0.8%X

That narrows it to 1,485 possibilities. Two more inferred no matches: Nathan - Dew (from ceremonies 4 and 5) and Clay - Roz (from ceremony 5).

Matchup Ceremony #6
  • Taylor - Clay
  • Roz - Hamudi
  • Dew - Eduardo
  • Mijntje - Aqel
  • Courtney - Nathan
  • Anissa - Samuel
  • CC - Mikey (repeat from ceremonies 4 and 5)
  • Jordanne - Leo
  • Danielle - Will
Blackout probability: 31.2% (463 of 1,485)
Instant win possible: No, did not repeat enough couples from ceremonies 2 and 3
Maximum number of lights: 8
Most likely number of lights: 3

It's 3 beams yet again, which leaves 556 combinations. Not much new info here given the large number of new couples.

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
Anissa36.7%X12.2%5.6%X5.0%7.4%20.1%X5.9%7.0%
BrookeXXXXXXXXMatchXX
CC10.8%XX12.9%13.8%10.1%3.6%25.0%X11.5%12.2%
CourtneyXX13.1%9.5%8.6%8.3%10.4%14.7%X7.0%28.2%
Danielle8.3%X15.8%9.0%28.8%XX20.3%X8.6%9.2%
Dew11.3%XX12.1%16.7%11.7%13.8%XX19.4%14.9%
Jordanne6.7%X14.4%23.7%9.2%5.6%11.3%19.8%X9.4%X
Julia RuthXMatchXXXXXXXXX
Mijntje8.5%X20.1%12.4%6.7%9.7%19.2%XX11.0%12.4%
Roz9.4%XXX16.2%12.4%20.0%XX26.1%16.0%
Taylor8.5%X24.3%14.7%X37.2%14.2%XX1.1%X

Wednesday, February 15, 2023

Season 9, Episode 6 Probabilities

Truth Booth #5

One of the top three couples goes into the Truth Booth: Clay and CC. No match.

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
Anissa54.3%X9.4%5.1%X4.6%5.7%8.6%X5.7%6.6%
Brooke1.4%X0.1%5.8%5.5%X3.9%5.3%64.1%4.6%9.3%
CC7.8%XX13.3%15.1%9.5%3.1%15.9%7.3%11.7%16.3%
CourtneyXX13.0%9.6%10.1%17.2%9.3%10.3%4.9%7.6%18.0%
Danielle5.3%X12.2%19.8%29.3%XX10.1%2.6%8.1%12.6%
Dew4.9%XX8.3%9.8%5.7%7.4%34.6%X17.9%11.3%
Jordanne6.1%X16.4%13.7%12.9%8.8%11.7%13.0%7.0%10.3%X
Julia RuthXMatchXXXXXXXXX
Mijntje7.1%X15.7%10.5%6.0%7.8%25.6%X4.8%10.2%12.5%
Roz5.4%X14.0%X11.3%7.6%20.6%2.2%4.2%21.4%13.3%
Taylor7.9%X19.1%13.8%X38.8%12.6%X5.2%2.5%X

Just 3,880 possibilities left. We have our first inferred no matches, both from ceremony 4: Dew - Ollie and Danielle - Leo.

Matchup Ceremony #5
  • Mikey - CC (repeat from ceremony 4)
  • Hamudi - Mijntje (repeat from ceremony 2 and 4)
  • Aqel - Anissa (repeat from ceremonies 2, 3, and 4)
  • Ollie - Brooke (repeat from ceremonies 2 and 3)
  • Leo - Danielle (repeat from ceremony 4, confirmed no match)
  • Will - Courtney (repeat from ceremonies 3 and 4)
  • Eduardo - Jordanne (repeat from ceremonies 3 and 4)
  • Nathan - Dew (repeat from ceremony 3)
  • Samuel - Taylor (repeat from ceremony 4)
  • Clay - Roz
Blackout probability: 0% due to repeats from previous ceremonies. See comments for explanation
Instant win possible: No, repeated more than 2 couples from ceremony 4
Maximum number of lights: 5
Most likely number of lights: 3

It's 3 beams, which leaves 2,202 combinations. The other two couples from ceremony 4 are also inferred no matches: Nathan and Roz, Clay and Brooke.

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
Anissa54.9%X9.8%4.1%X3.4%5.1%12.4%X5.5%4.9%
Brooke1.1%XX5.2%6.1%X4.0%1.2%67.4%5.5%9.4%
CC7.4%XX13.0%15.0%9.4%2.2%18.6%6.3%12.9%15.3%
CourtneyXX12.9%8.8%9.6%14.2%9.0%12.1%4.8%8.2%20.5%
Danielle4.8%X14.0%17.5%27.5%XX13.9%3.0%7.3%11.9%
Dew7.6%XX9.7%12.1%8.0%9.2%27.3%X15.3%10.8%
Jordanne4.5%X16.1%16.8%11.9%8.4%10.9%14.5%6.3%10.6%X
Julia RuthXMatchXXXXXXXXX
Mijntje7.3%X18.8%11.3%5.1%8.1%22.3%X4.3%10.3%12.5%
Roz5.5%X5.2%X12.7%9.2%25.6%X3.0%24.0%14.9%
Taylor6.9%X23.1%13.5%X39.3%11.7%X5.0%0.5%X

Wednesday, February 8, 2023

Season 9, Episode 5 Probabilities

Truth Booth #4

Julia Ruth goes in to the Truth Booth with Brendan after some tension with Nathan, and it's the first perfect match of the season!

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
Anissa47.3%X5.3%7.4%X6.4%7.7%9.6%X7.1%9.2%
Brooke4.4%X5.5%7.2%8.3%X7.5%9.1%42.4%6.8%9.0%
CC4.5%X38.7%7.0%8.0%6.0%7.2%8.7%4.7%6.6%8.6%
CourtneyXX7.0%8.8%10.2%13.1%9.1%10.4%6.4%8.1%27.0%
Danielle6.7%X7.8%14.2%23.5%8.8%X11.4%7.1%9.0%11.5%
Dew6.2%XX8.6%10.4%7.7%9.2%27.2%6.7%13.3%10.7%
Jordanne7.5%X8.6%23.5%11.9%8.8%10.6%11.8%7.9%9.3%X
Julia RuthXMatchXXXXXXXXX
Mijntje7.2%X8.3%10.1%16.0%9.0%20.3%X7.6%9.5%12.0%
Roz6.9%X7.9%X11.7%8.8%15.0%11.7%7.3%18.6%12.0%
Taylor9.4%X10.8%13.2%X31.4%13.4%X9.8%11.9%X

That narrows it down to 20,228 possibilities.

Matchup Ceremony #4
  • Courtney - Will (repeat from ceremony 3)
  • Jordanne - Eduardo (repeat from ceremony 3)
  • Mijntje - Hamudi (repeat from ceremony 2)
  • Anissa - Aqel (repeat from ceremonies 2 and 3)
  • CC - Mikey
  • Dew - Ollie
  • Danielle - Leo
  • Brooke - Clay
  • Taylor - Samuel
  • Roz - Nathan

Blackout probability: 16.5% (3,340 of 20,228)
Instant win possible: Yes
Most likely number of lights: 2

It's 2 beams, which leaves only 6,812 combinations left.

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
Anissa43.8%X5.4%7.7%X6.9%7.9%11.4%X7.8%9.1%
Brooke4.4%X0.1%7.7%8.6%X6.6%9.1%46.5%6.8%10.2%
CC4.4%X43.0%7.6%8.6%5.4%1.7%9.1%4.2%6.7%9.3%
CourtneyXX7.4%10.8%11.2%13.6%10.3%11.6%6.8%8.6%19.6%
Danielle7.0%X6.9%15.2%27.0%1.8%X12.1%6.6%9.5%13.6%
Dew6.4%XX9.4%11.4%7.7%8.5%28.4%1.8%14.8%11.6%
Jordanne7.9%X9.4%15.0%13.2%10.1%11.9%13.5%8.6%10.5%X
Julia RuthXMatchXXXXXXXXX
Mijntje8.8%X8.9%11.6%6.4%9.8%22.3%X8.1%11.1%13.0%
Roz7.0%X8.0%X13.5%9.7%16.6%4.8%7.4%19.3%13.6%
Taylor10.3%X10.9%15.0%X34.9%14.1%X9.9%4.9%X

Wednesday, February 1, 2023

Season 9, Episode 4 Probabilities

Truth Booth #3

It's Will and Taylor in the Truth Booth. No match!

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
Anissa21.5%9.3%9.3%9.3%X9.3%9.3%10.6%X9.3%12.2%
Brooke8.3%8.4%8.4%8.4%9.7%X8.4%9.6%19.3%8.4%11.0%
CC8.3%X19.1%8.5%9.7%8.4%8.5%9.6%8.5%8.4%11.0%
CourtneyX8.4%8.4%8.4%9.7%19.1%8.4%9.6%8.5%8.4%11.0%
Danielle8.3%8.5%8.5%19.1%9.7%8.5%X9.6%8.5%8.4%11.0%
Dew8.3%8.5%X8.5%9.7%8.4%8.5%9.6%8.5%19.1%11.0%
Jordanne8.5%19.4%8.7%8.7%10.0%8.7%8.7%9.9%8.8%8.7%X
Julia Ruth8.1%8.3%8.3%8.3%9.5%8.3%8.3%21.9%8.3%X10.9%
Mijntje8.2%8.3%8.3%8.3%22.4%8.3%8.3%X8.4%8.3%10.9%
Roz8.3%8.5%8.5%X9.7%8.5%19.1%9.6%8.5%8.4%11.0%
Taylor12.3%12.5%12.5%12.5%X12.5%12.5%X12.6%12.5%X

1,959,300 possibilities remain.

Matchup Ceremony #3
  • Samuel - Roz
  • Aqel - Anissa (repeat from ceremony 2)
  • Ollie - Brooke (repeat from ceremony 2)
  • Will - Courtney
  • Leo - Taylor
  • Clay - CC (repeat from ceremony 2)
  • Mikey - Mijntje
  • Eduardo - Jordanne
  • Hamudi - Danielle
  • Brendan - Julia Ruth
  • Nathan - Dew

Blackout probability: 24.6% (481,536 of 1,959,300)
Instant win possible: No, repeated more than 2 couples from ceremony 2
Maximum number of lights: 9
Most likely number of lights: 1

A surprising 4 beams means only 68,042 combinations left.

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
Anissa49.0%6.5%4.4%6.6%X5.6%6.6%7.4%X6.7%7.3%
Brooke3.9%6.3%4.5%6.4%6.9%X6.4%7.2%44.8%6.4%7.2%
CC4.1%X44.9%6.5%7.0%5.6%6.5%7.1%4.3%6.6%7.4%
CourtneyX7.3%5.8%7.5%8.1%8.1%7.4%8.4%5.7%7.4%34.3%
Danielle5.7%7.7%6.4%8.3%33.5%6.9%X8.8%6.2%7.9%8.6%
Dew5.6%7.6%X7.6%8.3%6.7%7.7%33.6%5.9%8.5%8.4%
Jordanne6.0%8.9%6.6%30.8%8.9%7.1%8.2%9.0%6.4%8.1%X
Julia Ruth6.0%29.7%6.4%8.5%9.0%7.3%8.3%9.4%6.4%X9.0%
Mijntje6.1%8.1%6.6%8.3%9.4%7.3%30.5%X6.4%8.4%8.9%
Roz6.0%8.1%6.5%X8.8%7.1%8.7%9.2%6.4%30.4%8.9%
Taylor7.4%9.5%8.0%9.7%X38.6%9.7%X7.6%9.6%X

Wednesday, January 25, 2023

Season 9, Episode 3 Probabilities

Truth Booth #2

Hamudi and Anissa go into the Truth Booth and are not a match.

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
Anissa11.0%11.0%11.0%11.0%X11.0%11.0%12.3%X11.0%11.0%
Brooke9.7%9.7%9.7%9.7%11.1%X9.7%11.0%9.9%9.7%9.7%
CC9.7%X9.7%9.7%11.1%9.7%9.7%11.0%9.9%9.7%9.7%
CourtneyX9.7%9.7%9.7%11.1%9.7%9.7%11.0%9.9%9.7%9.7%
Danielle9.7%9.7%9.7%9.7%11.1%9.7%X11.0%9.9%9.7%9.7%
Dew9.7%9.7%X9.7%11.1%9.7%9.7%11.0%9.9%9.7%9.7%
Jordanne9.7%9.7%9.7%9.7%11.1%9.7%9.7%11.0%9.9%9.7%X
Julia Ruth9.7%9.7%9.7%9.7%11.1%9.7%9.7%11.0%9.9%X9.7%
Mijntje9.9%9.9%9.9%9.9%11.2%9.9%9.9%X10.0%9.9%9.9%
Roz9.7%9.7%9.7%X11.1%9.7%9.7%11.0%9.9%9.7%9.7%
Taylor11.1%11.1%11.1%11.1%X11.1%11.1%X11.2%11.1%11.1%

11,895,985 possibilities remain.

Matchup Ceremony #2
  • Anissa - Aqel
  • CC - Clay
  • Danielle - Eduardo
  • Mijntje - Hamudi
  • Brooke - Ollie
  • Roz - Mikey
  • Dew - Samuel
  • Julia Ruth - Nathan
  • Jordanne - Brendan
  • Taylor - Will
  • Courtney - Leo

Blackout probability: 32.5% (3,865,932 of 11,895,985)
Instant win possible: Yes
Most likely number of lights: 1

2 beams. 2,441,740 combinations left.

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
Anissa19.5%9.9%10.0%10.0%X10.0%10.0%11.0%X9.9%9.8%
Brooke8.9%9.0%9.0%9.0%10.0%X9.0%9.9%17.5%9.0%8.8%
CC8.9%X17.3%9.0%10.0%9.0%9.0%9.9%9.1%9.0%8.8%
CourtneyX9.0%9.0%9.0%10.0%17.3%9.0%9.9%9.1%9.0%8.8%
Danielle8.9%9.0%9.0%17.3%10.0%9.0%X9.9%9.1%9.0%8.8%
Dew8.9%9.0%X9.0%10.0%9.0%9.0%9.9%9.1%17.3%8.8%
Jordanne8.8%17.3%9.0%9.0%10.0%9.0%9.0%9.9%9.1%9.0%X
Julia Ruth8.7%8.8%8.9%8.9%9.9%8.8%8.9%19.5%8.9%X8.7%
Mijntje8.8%8.9%8.9%8.9%20.0%8.9%8.9%X9.0%8.9%8.8%
Roz8.9%9.0%9.0%X10.0%9.0%17.3%9.9%9.1%9.0%8.8%
Taylor9.9%10.1%10.0%10.0%X10.0%10.0%X10.1%10.0%19.8%

Wednesday, January 18, 2023

Season 9, Episodes 1 & 2 Probabilities

MTV's Are You The One? season 9 features 11 men and 11 women looking for their perfect match. If they manage to guess the exactly right combination, they'll split $1,000,000. Season 9 is streaming on Paramount+, although the first episode will also air tonight on MTV.

Here I'll be keeping track of the possible remaining perfect match combinations (with the help of a computer), and looking into the potential strategy of playing this game. The math work here will be independent of the romance and excitement that comes with the pairings. Unless noted otherwise, assume the probabilities of a matchup here being successful are random, ignoring chemistry and all the parts of the show that are actually fun.

Prize and Probability of Winning


All 22 winners will split a 30-year annuity that will pay out $1,000,000. That means if they elect to take the present day "lump sum," they'll end up with around $22,000 each (in addition to a shot at finding their perfect match and getting some weekly face time on MTV).

The blackout rule, introduced in season 3, drops the prize by $250,000 if a matchup ceremony results in no lights other than truth booths.

The number of possible permutations in the original game is 11 factorial = 11! = 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 39,916,800. Put simply, a random guess would have a 1 in 39,916,800 chance of winning (0.00000002505%). The calculations done here throughout the season evaluate all of those 39,916,800 possibilities against the information that's been shared through truth booths and matchup ceremonies to figure out the set of perfect matches. The easy way of saying it: I use a computer program to do a process of elimination in seconds.

The show has multiple challenges where additional information is provided, reducing the number of possible combinations. The contestants only have 10 episodes to find the perfect match, so they'll need to reduce it quickly to have a chance.

Probabilities

Truth Booth

Taylor and Nathan go into the Truth Booth at the end of Episode 1. The start of Episode 2 shows... no match.

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
Anissa9.0%9.0%9.0%9.0%9.0%9.0%9.0%10.0%9.0%9.0%9.0%
Brooke9.0%9.0%9.0%9.0%9.0%9.0%9.0%10.0%9.0%9.0%9.0%
CC9.0%9.0%9.0%9.0%9.0%9.0%9.0%10.0%9.0%9.0%9.0%
Courtney9.0%9.0%9.0%9.0%9.0%9.0%9.0%10.0%9.0%9.0%9.0%
Danielle9.0%9.0%9.0%9.0%9.0%9.0%9.0%10.0%9.0%9.0%9.0%
Dew9.0%9.0%9.0%9.0%9.0%9.0%9.0%10.0%9.0%9.0%9.0%
Jordanne9.0%9.0%9.0%9.0%9.0%9.0%9.0%10.0%9.0%9.0%9.0%
Julia Ruth9.0%9.0%9.0%9.0%9.0%9.0%9.0%10.0%9.0%9.0%9.0%
Mijntje9.0%9.0%9.0%9.0%9.0%9.0%9.0%10.0%9.0%9.0%9.0%
Roz9.0%9.0%9.0%9.0%9.0%9.0%9.0%10.0%9.0%9.0%9.0%
Taylor10.0%10.0%10.0%10.0%10.0%10.0%10.0%X10.0%10.0%10.0%

36,288,000 possibilities remain.

Matchup Ceremony
  • Nathan - Mijntje
  • Leo - Brooke
  • Mikey - Danielle
  • Brendan - CC
  • Aqel - Courtney
  • Hamudi - Taylor
  • Ollie - Anissa
  • Samuel - Julia Ruth
  • Eduardo - Roz
  • Clay - Dew
  • Will - Jordanne

Blackout probability: 36.4% (13,216,113 of 36,288,000)
Instant win possible: Yes
Most likely number of lights: 1

It's a blackout! 0 beams. 13,216,113 combinations left.

AqelBrendanClayEduardoHamudiLeoMikeyNathanOllieSamuelWill
Anissa9.9%9.9%9.9%9.9%10.0%9.9%9.9%11.1%X9.9%9.9%
Brooke9.9%9.9%9.9%9.9%10.0%X9.9%11.1%9.9%9.9%9.9%
CC9.9%X9.9%9.9%10.0%9.9%9.9%11.1%9.9%9.9%9.9%
CourtneyX9.9%9.9%9.9%10.0%9.9%9.9%11.1%9.9%9.9%9.9%
Danielle9.9%9.9%9.9%9.9%10.0%9.9%X11.1%9.9%9.9%9.9%
Dew9.9%9.9%X9.9%10.0%9.9%9.9%11.1%9.9%9.9%9.9%
Jordanne9.9%9.9%9.9%9.9%10.0%9.9%9.9%11.1%9.9%9.9%X
Julia Ruth9.9%9.9%9.9%9.9%10.0%9.9%9.9%11.1%9.9%X9.9%
Mijntje10.0%10.0%10.0%10.0%10.1%10.0%10.0%X10.0%10.0%10.0%
Roz9.9%9.9%9.9%X10.0%9.9%9.9%11.1%9.9%9.9%9.9%
Taylor11.1%11.1%11.1%11.1%X11.1%11.1%X11.1%11.1%11.1%


For an explanation on why Mijntje and Hamudi have slightly higher probabilities than everyone else (i.e. the difference between 9.9%, 10.0%, and 10.1%), please see the comments section.