Saturday, February 15, 2014

Season 1, Episode 3 Probabilities

The contestants narrowed it down to 5,773 possible combinations remaining after Episode 2. Do they know that they've eliminated 99.8% of the possible combinations?

Truth Booth

John and Simone, who had about a 20% chance of being a match by virtue of their Episode 1 pairing, were not in fact a match. This cuts the number of possible combinations down to 4,617. That frees up Jacy to move in on John - convenient, since they're the most likely couple on the board to be a perfect match. The remaining odds (red = eliminated, yellow = twice as likely as randomly guessing, green = most likely pairing):

AdamChris SChris TDillanDreEthanJoeyJohnRyanWesley
Amber5.3%3.9%5.1%4.6%5.0%38.2%5.1%6.2%21.5%5.1%
Ashleigh4.9%20.9%5.1%5.0%37.1%5.2%5.0%6.8%5.1%5.0%
Brittany21.4%3.9%5.4%5.1%5.0%5.4%37.6%6.3%4.9%5.0%
Coleysia5.1%3.9%5.5%21.5%5.1%5.4%4.9%6.4%5.2%37.0%
Jacy3.9%2.9%4.0%3.9%20.9%4.0%3.9%48.9%3.9%3.9%
Jessica4.8%4.0%25.0%38.2%5.2%X5.4%6.6%5.4%5.3%
Kayla5.1%3.9%5.0%5.1%5.0%5.3%5.0%6.3%37.0%22.3%
Paige5.0%3.9%38.4%5.3%4.9%4.8%21.4%6.1%5.1%5.1%
Shanley38.4%4.0%X5.1%5.1%25.0%5.4%6.5%5.5%5.0%
Simone6.1%48.9%6.5%6.2%6.8%6.6%6.3%X6.4%6.3%


Matchup Ceremony

The men got to go first again, and a few of them are feeling good about what happened in the previous episode.
  • Dillan - Coleysia (repeat from episode 1)
  • John - Jessica
  • Ryan - Kayla (repeat from episode 2)
  • Ethan - Amber (repeat from episode 2)
  • Dre - Ashleigh (repeat from episode 2)
  • Chris T - Simone
  • Adam - Brittany (repeat from episode 1)
  • Chris S - Paige
  • Joey - Shanley
  • Wesley - Jacy
Unfortunately, they were by and large incorrect, as only 2 of 10 pairings were correct. The only outcome that would have eliminated fewer possible combinations was 1 of 10. 0 of 10 here would have provided significant additional information on what had happened in previous episodes. Instead, the group is left with 1,324 possible combinations, and these possibilities:

AdamChris SChris TDillanDreEthanJoeyJohnRyanWesley
Amber4.8%4.8%4.9%4.1%4.5%44.0%6.0%5.7%14.3%7.0%
Ashleigh3.7%19.6%5.3%4.4%41.1%3.7%5.4%6.4%4.9%5.5%
Brittany25.3%4.2%5.0%6.0%4.2%5.4%33.4%6.2%4.8%5.6%
Coleysia5.8%4.5%4.7%25.7%4.2%4.5%5.4%5.4%4.7%35.2%
Jacy3.9%3.0%3.2%4.6%19.4%4.4%3.9%51.4%4.3%1.9%
Jessica4.6%4.2%26.7%32.1%6.0%X6.1%6.6%6.6%7.0%
Kayla4.6%4.1%5.0%4.4%3.5%4.3%6.0%6.3%41.4%20.5%
Paige4.9%3.5%37.6%5.4%4.8%4.0%24.8%5.4%4.7%4.9%
Shanley36.0%4.3%X6.3%6.2%23.6%2.9%6.7%7.6%6.3%
Simone6.3%47.8%7.6%7.2%6.2%6.0%6.1%X6.7%6.0%

Strategy will be discussed in a future post.

No comments:

Post a Comment