A standard die is rolled six times. What is the probability that the product of all six rolls is odd? Express your answer as a common fraction.

ColdplayMX Aug 13, 2018

#1**+2 **

If the product of all 6 rolls is, odd...EVERY roll must be odd, since any even roll - or multiple even rolls - in the 6 will result in an even product

We have a (1/2) probability of an odd roll on each roll....so....the probability of an odd product on 6 rolls is :

(1/2)^6 = 1 / 64

CPhill Aug 13, 2018