A fair die is rolled 5 times. What is the probability of having no 2 and no 4 among the rolls?
1 Answer
Jan 25, 2017
Explanation:
In a single roll there are
Hence the probability of no "2" or "4" in one roll is:
#4/6 = 2/3#
The probability of no "2" or "4" on each of the subsequent rolls is the same.
Hence the probability of no "2" or "4" on all of
#(2/3)^5 = 2^5/3^5 = 32/243 ~~ 0.1317#
