If two distinct numbers are picked at random from the set $A = {2, 3, 5, 7, 11, 13},$ what is the probability that the sum of the numbers picked is even?

2/3

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1/3

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1/4

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Solution

The correct option is A 2/3
Total number of way to choose=65=30
Total even number =1
Total odd numbers =5
odd+odd=even
Total way to choose two odd number =54=20
Total way to choose two even number=0
Probability=20/30=2/3

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