Question

Please Help!
In the game of Greed, six dice are rolled. A player usually finds it desirable to roll at least one 5.
(a) Find the probability at least one 5 occurs when all six dice are rolled.
(b) When 5's occur, the player removes the dice showing a 5 and rolls again. If four 5's occur when all six dice are rolled, the remaining two are rolled. Find the probability of at least one 5 when the two dice are rolled.

Answer 1

P(At least one 5)=1-P(No dies landed on a 5)
We use the binomial distribution formula

Answer 2

a) Pr(at least one 5) = 1 - Pr (no 5's) = 1 - (5/6)^6 = 0.6651

b) Pr(at least one 5) = 1 - Pr (no 5's) - 1 - (5/6)^2 = 0.3056

Answer 3

Thank You! =)