Several turns later you end up in jail (in the game): the rules says that on...

Several turns later you end up in jail (in the game): the rules says that on your turn if you roll a six-sided die three times without getting a 1 you get out of jail. What is the probability that you will not get out of jail on your next turn, i.e. what is the probability that you roll a one at least once in three rolls?

Expert Solution

P(getting 1 in single die) = 1/6

P(not getting 1 in three times) = (1 - 1/6)³ = 0.5787

P(you will not get out of jail on your next turn) = P(rolling a 1 at least once in three rolls)

= 1 - P(not getting 1 in three times)

= 1 - 0.5787

= 0.4213

orchestra answered 2 years ago

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