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Q.

A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is a prime number.

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a

35

b

15

c

25

d

37

answer is C.

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Detailed Solution

As the box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. So,
The formula of the probability of an event is the number of favorable outcomes divided by the total number of outcomes.

P (E) = n o . of favorable outcomes total number of outcomes

Let

E

be event of drawing a card with prime number from the cards with numbered from 1 to 20.
Prime numbers from 1 to 20 are 2,3,5,7,11,13,17,19 No. of favorable outcomes is 8
Total number of possible outcomes is 20
The probability that the number on the drawn card is prime number is

P (E) = n o . of favorable outcomes total number of outcomes P (E) = 820 P (E) = 25

Therefore, probability that a card with prime number is selected from 1 to 20 is

25

.
Hence, option 3 is correct.

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