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Question

15 cards numbered 1,2,3,4,...,14,15 are put in a box and mixed thoroughly. A man draws a card at random form the box. Find the probability that the number on the card is divisible by 2 and 3.

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Solution

We have,

Toatl number of cards =15

Number of card is divisible by 2 and 3=(2,3,4,6,8,9,10,12,14,15)=10


So,

The probability of is divisible by 2 and 3 =1015=23


Hence, this is the answer.

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