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.
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