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Question

Cards marked with number 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability that the number of the card is a prime number less than 20.

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Solution

We have,

Cards marked with number 2 to 101 are placed in a box.

Total number of cards =100

Even cards=50

Odd cards=50

Prime number les than 20:2,3,5,7,11,13,17,19

Number of cards prime number =8

Then,

According to given question,

Probability of cards prime number =8100=225

Hence, this is the answer.


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