SOLUTION: Two dice are thrown once,find the probability that (a) both are prime numbers (b)their sum is a prime number.
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Question 969953: Two dice are thrown once,find the probability that (a) both are prime numbers (b)their sum is a prime number.
Answer by satyareddy22(84) (Show Source): You can put this solution on YOUR website!
when 2 dice are thrown,the total number of numbers we get is 6*6=36
(a) both are prime numbers
prime numbers in a dice are 2,3,5
so, the probability = 3/36=1/12
(b)their sum is a prime number
when 2 dice are thrown possibility of getting their sum to be a prime number is
(1,1)
(1,2) (2,1)
(1,4) (4,1) (2,3) (3,2)
So events of getting their sum to be a prime number=7
Therefore the probability = 7/36
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