The probability that at least one number cube show a 2, given that the sum is even is 5/36 .
In the question ,
it is given that ,
two standard cube are rolled ,
we have to find the probability that at least one number cube show a 2, given that the sum is even ,
we know that on rolling two dice ,
the total number of outcomes is = 36 ,
the outcomes in which one cube shows 2 are ,
{ (1,2) , (2,2) , (2,3) , (2,4) , (2,5) , (2,6) , (2,1) , (3,2), (4,2) , (5,2) ,(6,2) }
and the outcomes in which the sum is even is :
{ (2,2) , (2,4) , (2,6), (4,2) , (6,2) }
So , the number of favorable outcomes is = 5 ,
So , the probability is = 5/36
Therefore , the required probability is = 5/36 .
The given question is incomplete the complete question is
You roll two standard number cube . What is the probability that at least one number cube show a 2, given that the sum is even ?
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