What is the probability that the sum of two dice

Jackson David

Jackson David

Answered question

2022-02-12

What is the probability that the sum of two dice rolls is 12 if the sum is even?

Answer & Explanation

golfachukc8

golfachukc8

Beginner2022-02-13Added 13 answers

If we denote:
A - the sum of 2 dice is 12
B - the sum of 2 dice is even
Then we are looking for a conditional probability P(AB)
According to the definition we are looking for:
P(AB)=P(AB)P(B)
|Ω|=36
AB={(6;6)}
|AB|=1
P(AB)=136
B={(1,1);(1,3);(1,5);(2,2);(2,4);(2;6);(3,1);(3,3);(3,5);(4,2);(4,4);(4,6);(5,1);(5,3);(5,5);(6,2);(6,4);(6,6)}
|B|=18
P(B)=1836=12
P(AB)=136:12=1362=118

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