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

NerdyWeeb Aug 13, 2020

#2**+1 **

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!

Clear Aug 13, 2020