Question

A card is drawn at random from a well shuffled pack of 52 cards. Find the probability that the card drawn has a prime number on it.

• A. 1/13
• B. 4/13
• C. 4/9
• D. 6/13

Answer 1

The correct option is B

4/13

The number cards are from 2 to 10, of which only 2, 3, 5 and 7 are prime numbers.
Since there are 4 suits in a deck, we will have 4 x 4 = 16 cards with prime numbers on them.
We know that, Probability of an event E, P(E) =$\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$
Thus, the required probability = $\frac{16}{52}$ = $\frac{4}{13}$.