Question

In Yahtzee, 5 dice are rolled. Find the probability of rolling at least one 6.

Answer: 4651/7776

Thanks for any help

Answer 1

Prob(six) = 1/6
prob(not six) = 5/6
Prob(not six in all 5 throws) = C(5,5) (5/6)^5
= 3125/7776

So prob(at least 1 six) = 1 - 3125/7776
= 4651/7776

Answer 2

rolling five at a time is the same as five individual rolls
... they are independent events

at least one means NOT none

for one die ... p(not 6) = 5/6

for five dice ... p(not 6) = (5/6)^5

at least one ... 1 - [(5/6)^5]