The Simpsons — MoneyBART

The local little league team has a new coach, and she plans on using statistical analysis to improve their chances of winning. She tracks player tendencies and digs into the work of Bill James to bring a Moneyball approach to the Isotots. Bart laments that she has taken the fun out of the game, which begs the question of the team’s objective function. Are sports teams win-maximizers or should some teams focus on having fun?

At the end of the segment, Bart has a choice to make. Should he take the statistical approach to win the game or should he swing and try to preserve his hot streak. The hot hand fallacy is the belief that previous observations are correlated with upcoming observations. This fallacy leads us to believe batters “get hot” even though the probability of the next hit is independent of the previous ones.

Superstore — Random Numbers

Cheyenne and Mateo are trying to pick numbers for the upcoming Missouri jackpot and are discussing how random their numbers are. While each combination is no more lucky than any other combination, there are particular numbers that people pick because they feel lucky. The odds of the lottery being 1-2-3-4-5 are just as likely as any other combination of five numbers, but the likelihood of sharing the jackpot with another person is probably pretty low.

Superstore — Probability of Success

When it comes to selecting numbers for a lottery, people tend to irrationally believe certain numbers are more important than others. Each number is just as likely to be selected as the other numbers, so placing a higher probability on one number being selected isn’t rational.

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