Wednesday, February 19, 2014

Season 1, Episode 5 Probabilities

The contestants are now really close with only 142 combinations remaining after Episode 4.

Truth Booth #1

Dre and Ashleigh had been together in two matchup ceremonies - Episode 2 and less successful Episode 3 (the most successful to-date), so they were a good choice here for one of two truth booths. But they weren't a match - which reduced the number of possible combinations to 91. Of particular significance is that Brittany and Adam, one of the major couples from the first three episodes, had been represented in only three of the remaining permutations, and all of those contained Ashleigh and Dre together. Pairings eliminated by this truth booth include:
  • Brittany - Adam (paired in episodes 1 and 3)
  • Coleysia - Joey
  • Jacy - Chris T
  • Jacy - Ethan
  • Shanley - Dillan
This left the following probabilities, with Ashleigh and Dre each now lacking the strong favorite that everyone else has (red = eliminated, yellow = twice as likely as randomly guessing, green = most likely pairing):

AdamChris SChris TDillanDreEthanJoeyJohnRyanWes
Amber8.8%4.4%5.5%1.1%4.4%61.5%4.4%1.1%1.1%7.7%
Ashleigh9.9%23.1%18.7%1.1%X8.8%5.5%12.1%11.0%9.9%
BrittanyX2.2%2.2%4.4%8.8%5.5%59.3%4.4%9.9%3.3%
Coleysia1.1%X1.1%85.7%XXX1.1%1.1%9.9%
Jacy3.3%1.1%X2.2%24.2%X4.4%60.4%3.3%1.1%
Jessica9.9%4.4%16.5%X13.2%X7.7%4.4%12.1%31.9%
Kayla4.4%3.3%6.6%1.1%5.5%2.2%5.5%3.3%45.1%23.1%
Paige4.4%2.2%49.5%3.3%8.8%3.3%12.1%4.4%4.4%7.7%
Shanley57.1%2.2%XX7.7%14.3%X8.8%6.6%3.3%
Simone1.1%57.1%X1.1%27.5%4.4%1.1%X5.5%2.2%


Truth Booth #2

Coleysia and Dillan were the second couple picked for the truth booth. Undoubtedly, the producers chose them to go second for dramatic effect. They had been together on the most number of episodes (3) and the probabilities to this point had suggested that they were the most likely match. And the team finally breaks through with a perfect match! This eliminates only 13 possibilities, but it's good to get someone as 100% certain. Out of the remaining 78 possible combinations, only one other couple is eliminated:
  • Paige - Chris S
This is especially surprising given how strongly Scali pursues Paige this episode. So her brushing him off ends up being fortunate! The probabilities after the first perfect match:

AdamChris SChris TDillanDreEthanJoeyJohnRyanWesley
Amber7.7%5.1%6.4%X5.1%59.0%5.1%1.3%1.3%9.0%
Ashleigh10.3%17.9%16.7%XX10.3%6.4%14.1%12.8%11.5%
BrittanyX2.6%2.6%X10.3%6.4%60.3%3.8%10.3%3.8%
ColeysiaXXXMatchXXXXXX
Jacy2.6%1.3%XX21.8%X2.6%66.7%3.8%1.3%
Jessica10.3%5.1%11.5%X15.4%X9.0%1.3%14.1%33.3%
Kayla5.1%3.8%7.7%X6.4%2.6%6.4%3.8%38.5%25.6%
Paige3.8%X55.1%X10.3%3.8%9.0%3.8%5.1%9.0%
Shanley59.0%2.6%XX9.0%12.8%X5.1%7.7%3.8%
Simone1.3%61.5%XX21.8%5.1%1.3%X6.4%2.6%


Matchup Ceremony

The men go first this time, and many of the guys choose the girls who picked them in episode 2:
  • Ethan - Amber (repeat from episodes 2 and 3)
  • Joey - Jessica
  • Wes - Kayla (repeat from episode 1)
  • John - Jacy (repeat from episode 2)
  • Chris S - Simone (repeat from episode 2)
  • Adam - Shanley (repeat from episode 2)
  • Chris T - Paige (repeat from episode 2)
  • Dre - Brittany
  • Ryan - Ashleigh
The result of 5 of 10 doesn't help much over episode 2's 4 of 10. They were guaranteed at least 3 of 10 correct given information they've had in the past, although this guess was not one of the possible remaining combinations. A ton of possible pairings are eliminated:
  • Amber - Adam (paired in episode 4)
  • Amber - Chris S
  • Amber - Dre
  • Amber - John
  • Amber - Ryan (paired in episode 1)
  • Brittany - Chris S
  • Brittany - Chris T
  • Jacy - Adam
  • Jacy - Joey (paired in episode 4)
  • Jacy - Wes (paired in episode 3)
  • Kayla - Adam
  • Kayla - John
  • Paige - Ethan
  • Shanley - Wes
  • Simone - Adam
  • Simone - Joey
Only 24 possible combinations left.

AdamChris SChris TDillanDreEthanJoeyJohnRyanWesley
AmberXX4.2%XX79.2%8.3%XX8.3%
Ashleigh16.7%16.7%29.2%XX4.2%4.2%8.3%12.5%8.3%
BrittanyXXXX12.5%4.2%58.3%X16.7%8.3%
ColeysiaXXXMatchXXXXXX
JacyX4.2%XX8.3%XX75.0%12.5%X
Jessica8.3%12.5%12.5%X20.8%X4.2%4.2%20.8%16.7%
KaylaX4.2%8.3%X8.3%4.2%12.5%X16.7%45.8%
Paige8.3%X45.8%X12.5%X12.5%8.3%4.2%8.3%
Shanley66.7%4.2%XX8.3%4.2%X4.2%12.5%X
SimoneX58.3%XX29.2%4.2%XX4.2%4.2%

The remaining 24 combinations are listed after the jump.

  1. Amber - Ethan, Ashleigh - Chris T, Brittany - Joey, Jacy - John, Jessica - Dre, Kayla - Wesley, Paige - Adam, Shanley - Ryan, Simone - Chris S
  2. Amber - Ethan, Ashleigh - Adam, Brittany - Joey, Jacy - John, Jessica - Chris S, Kayla - Wesley, Paige - Chris T, Shanley - Ryan, Simone - Dre
  3. Amber - Ethan, Ashleigh - Chris T, Brittany - Joey, Jacy - Ryan, Jessica - Dre, Kayla - Wesley, Paige - John, Shanley - Adam, Simone - Chris S
  4. Amber - Ethan, Ashleigh - Chris T, Brittany - Joey, Jacy - John, Jessica - Ryan, Kayla - Wesley, Paige - Adam, Shanley - Dre, Simone - Chris S
  5. Amber - Ethan, Ashleigh - Chris T, Brittany - Joey, Jacy - John, Jessica - Adam, Kayla - Wesley, Paige - Dre, Shanley - Ryan, Simone - Chris S
  6. Amber - Ethan, Ashleigh - Adam, Brittany - Joey, Jacy - John, Jessica - Ryan, Kayla - Wesley, Paige - Chris T, Shanley - Chris S, Simone - Dre
  7. Amber - Ethan, Ashleigh - John, Brittany - Joey, Jacy - Ryan, Jessica - Chris S, Kayla - Wesley, Paige - Chris T, Shanley - Adam, Simone - Dre
  8. Amber - Ethan, Ashleigh - Chris T, Brittany - Joey, Jacy - John, Jessica - Chris S, Kayla - Wesley, Paige - Dre, Shanley - Adam, Simone - Ryan
  9. Amber - Ethan, Ashleigh - Chris S, Brittany - Wesley, Jacy - John, Jessica - Ryan, Kayla - Joey, Paige - Chris T, Shanley - Adam, Simone - Dre
  10. Amber - Ethan, Ashleigh - John, Brittany - Joey, Jacy - Chris S, Jessica - Ryan, Kayla - Wesley, Paige - Chris T, Shanley - Adam, Simone - Dre
  11. Amber - Ethan, Ashleigh - Chris T, Brittany - Wesley, Jacy - John, Jessica - Ryan, Kayla - Dre, Paige - Joey, Shanley - Adam, Simone - Chris S
  12. Amber - Ethan, Ashleigh - Adam, Brittany - Joey, Jacy - Ryan, Jessica - Dre, Kayla - Wesley, Paige - Chris T, Shanley - John, Simone - Chris S
  13. Amber - Ethan, Ashleigh - Chris T, Brittany - Joey, Jacy - John, Jessica - Adam, Kayla - Wesley, Paige - Ryan, Shanley - Dre, Simone - Chris S
  14. Amber - Ethan, Ashleigh - Wesley, Brittany - Ryan, Jacy - John, Jessica - Dre, Kayla - Chris T, Paige - Joey, Shanley - Adam, Simone - Chris S
  15. Amber - Ethan, Ashleigh - Wesley, Brittany - Ryan, Jacy - John, Jessica - Chris T, Kayla - Joey, Paige - Dre, Shanley - Adam, Simone - Chris S
  16. Amber - Ethan, Ashleigh - Chris S, Brittany - Ryan, Jacy - John, Jessica - Dre, Kayla - Joey, Paige - Chris T, Shanley - Adam, Simone - Wesley
  17. Amber - Ethan, Ashleigh - Ryan, Brittany - Joey, Jacy - John, Jessica - Chris T, Kayla - Chris S, Paige - Wesley, Shanley - Adam, Simone - Dre
  18. Amber - Ethan, Ashleigh - Ryan, Brittany - Joey, Jacy - Dre, Jessica - Wesley, Kayla - Chris T, Paige - John, Shanley - Adam, Simone - Chris S
  19. Amber - Ethan, Ashleigh - Joey, Brittany - Ryan, Jacy - John, Jessica - Chris T, Kayla - Dre, Paige - Wesley, Shanley - Adam, Simone - Chris S
  20. Amber - Joey, Ashleigh - Chris S, Brittany - Dre, Jacy - John, Jessica - Wesley, Kayla - Ryan, Paige - Chris T, Shanley - Adam, Simone - Ethan
  21. Amber - Joey, Ashleigh - Adam, Brittany - Dre, Jacy - John, Jessica - Wesley, Kayla - Ryan, Paige - Chris T, Shanley - Ethan, Simone - Chris S
  22. Amber - Wesley, Ashleigh - Chris S, Brittany - Ethan, Jacy - John, Jessica - Joey, Kayla - Ryan, Paige - Chris T, Shanley - Adam, Simone - Dre
  23. Amber - Chris T, Ashleigh - Ethan, Brittany - Dre, Jacy - John, Jessica - Wesley, Kayla - Ryan, Paige - Joey, Shanley - Adam, Simone - Chris S
  24. Amber - Wesley, Ashleigh - Ryan, Brittany - Joey, Jacy - Dre, Jessica - John, Kayla - Ethan, Paige - Chris T, Shanley - Adam, Simone - Chris S

2 comments:

  1. Are we also going to get a post about the possibilities with blog assistance?

    Also, since (with blog assistance) we now know the 2 matches which WERE correct during week 3, we can eliminate all matches which did take place that week. That may narrow down some stuff.

    ReplyDelete
  2. Yes, sorry for the delay. http://areuthe.blogspot.com/2014/02/season-1-episode-5-probabilities-with.html

    ReplyDelete