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3 six-sided dices are rolled. What is the probability that the product is even?

MATHEXPERTISE  Oct 21, 2018
 #1
avatar+2729 
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\(P[\text{product is even}]=1-P[\text{product is odd}] = 1 - P[\text{all three dice roll odd}]\)

 

\(P[\text{1 die rolls odd}]=\dfrac 1 2 \\ P[\text{product is odd}]=P[\text{all 3 dice roll odd}]=\left(\dfrac 1 2\right)^3 = \dfrac 1 8\\ P[\text{product is even}]=1 - \dfrac 1 8 = \dfrac 7 8\)

Rom  Oct 21, 2018
 #2
avatar+103 
+1

thanx the answer is correct :D

MATHEXPERTISE  Oct 21, 2018

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