Question

From the deck of $52$ cards, if a card is randomly chosen, find the probability of getting a card with (i) a prime number on it, (ii) face on it.

Answer 1

Total no. of cards $=52$

(i) Prime numbers in the deck $=2,3,5,7,$

No. of favourable outcomes $=4\times 4=16$

Probability of getting a prime number on the card $=\frac{\text{No. of favourable outcomes}}{\text{Total no. of possible outcomes}}=\frac{16}{52}=\frac{4}{13}$

(ii) Faces in the deck $=3\left(\text{King, queen and jack}\right)$

No. of favourable outcomes $=3\times 4=12$

Probability of getting a prime number on the card $=\frac{\text{No. of favourable outcomes}}{\text{Total no. of possible outcomes}}=\frac{12}{52}=\frac{3}{13}$