STATS QUESTION In the game of Parcheesi each player rolls a pair of dice on each turn.

Question

In the game of Parcheesi, each player rolls a pair of dice on each turn. In order to begin the game, you must roll a five on at least one die, or a total of five on both dice. Find the probability that the player does not get to begin the game on either the first or the second rolls.

Answer 1

P(a five on at least one die) = 11/36

P(total of five on both dice) = 4/36

P(the player does not get to begin the game) = 1 - 11/36 - 4/36 = 21/36 = 7/12

P(the player does not get to begin the game on either the first or the second rolls) = (7/12)² = 49/144