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Set A,B,C, A cap B, A cap B, Acap C, B ...

Set ` A,B,C, A cap B, A cap B, Acap C, B cap C and A cap B cap C ` have 35, 40, 45, 13, 12, 14 and 5 elements respectively. An element is selected at random from the set `a cup V cup C` . The probability that the selected element belongs to only set A is

A

`(13)/(86)`

B

`(35)/(86)`

C

`(5)/(86)`

D

`(15)/(86)`

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The correct Answer is:
D
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