* Roll a pair of dice until you get doubles * In basketball, attempt a three-point shot until you make one * Keep placing $1 bets on the number 15 in.

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Presentation transcript:

* Roll a pair of dice until you get doubles * In basketball, attempt a three-point shot until you make one * Keep placing $1 bets on the number 15 in roulette until you win

* The four conditions for a binomial setting are: 1. Success/Failure 2. Independent Trials 3. Constant “p” (probability of success) 4. No set number of trials, n

* The number of trials Y that it takes to get a success in a geometric setting is a geometric random variable. The probability distribution of Y is a geometric distribution with parameter p, the probability of a success on any trial. The possible values of Y are 1, 2, 3, ….

* In Monopoly, one way to get out of jail is to roll doubles. How likely is it that someone in jail would roll doubles on his first, second, or third attempt? If this was the only way to get out of jail, how many turns would it take, on average?

* Find the probability that it takes 3 turns to roll doubles and get out of jail.

* Find the probability that it takes more than 3 turns to roll doubles, and interpret this value in context.

* Same homework assignment as yesterday…just keep working on it!