Question

All the cards in an ordinary deck of 52 cards are numbered from 1 to 52 If a card is drawn at random from the deck then what is the probability that it will have a prime number?

• A. $\frac{7}{26}$
• B. $\frac{1}{4}$
• C. $\frac{3}{13}$
• D. $\frac{15}{52}$

Answer 1

The correct option is D $\frac{15}{52}$

Out of total $52$ numbers, the prime numbers are $2,3,5,7,11,13,17,19,23,29,31,37,41,43,47$ which are $15$ in number.
So, probability that a card drawn is a prime number $=\frac{15}{52}$