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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.

 Aug 13, 2018
 #1
avatar+98130 
+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

 

 

cool cool cool

 Aug 13, 2018
 #2
avatar+196 
+1

Thanks so much Chris!

 Aug 13, 2018
 #3
avatar+98130 
0

OK, Coldplay....!!!

 

 

cool cool cool

CPhill  Aug 13, 2018

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