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Question

Two numbers are selected at random from the integers 1 through 9. If the sum is even, find the probability that both numbers are odd ?

A
58
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B
38
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C
13204
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D
None of these
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Solution

The correct option is A 58
There are 4 even numbers and 5 odd numbers
Let A = the event of choosing odd numbers
B = The event of getting the sum an even number .
Then AB = The event of choosing odd numbers whose sum is even
n(B)=4C2+5C2=16
And n(AB)=5C2=10
Required probability =p(AB)
=n(AB)n(B)=1016=58

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