If you roll a 6-sided die 4 times, what is the probability of one roll being a multiple of 3?
A)2/3
B)16/81
C)145/1296
D)65/81
E)625/1296
There is a 2/3 chance each time that the roll will NOT be a multiple of 3, so (2/3)^4 is the probability that none of them will be a multiple of 3.
If we subtract this from 1, we will get the probablility that at least one of the rolls is a multiple of 3. This is equal to 65/81, option D.
I hope this helps you, best of luck!