We roll a fair 6-sided die 5 times. What is the probability that we get an odd number in exactly 4 of the 5 rolls?
+23246 Since you want one odd number and four even numbers, there are five possibilities:
OEEEE + EOEEE + EEOEE + EEEOE + EEEEO
The probability of getting an odd number is 3/6.
The probability of getting an even number is 3/6.
Therefore, the probability of OEEEE is (3/6) x (3/6) X (3/6) x (3/6) x (3/6). = 1/32
This is also the probability of each ot the other possibilities.
Adding these together: (1/32) + (1/32) + (1/32) + (1/32) + (1/32) = 5/32
