In a single throw of pair of different dice what is the probability of getting a prime number on each dice .Atotal of 9or 11
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As we throw two die we have 6^2 i.e 36 chances
So n(S) = 36
Let the event A be having prime on each dice
So chances are {(2,2), (2,3), (2,5), (3,2), (3,3), (3,5), (5,2), (5,3), (5,5)}
Hence n(A) = 9
Thus P(A) = 9/36 = 1/4
Let B be the event having the sum of 9 or 11
So chances will be like {(3,6), (6.3), (4.5), (5,4), (5,6), (6,5)}
So n(B) = 6
Thus P(B) = 6/36 = 1/6
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Answer:Let the event A be having prime on each dice
So chances are {(2,2), (2,3), (2,5), (3,2), (3,3), (3,5), (5,2), (5,3), (5,5)}
Hence n(A) = 9
Thus P(A)
= 9/36
= 1/4
Let B be the event having the sum of 9 or 11
So chances will be like
{(3,6), (6.3), (4.5), (5,4), (5,6), (6,5)}
So n(B) = 6
Thus P(B)
= 6/36
= 1/6
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