Question

Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.

Options

• `1/2`

• `25/10`

• `25/51`

• `44/91`

Answer 1

`25/10`

Explanation:

Number of exhaustive cases = 52

Number of black cards = 26

One black card may be drawn in 26 ways

∴ Probability of getting a black cord P(A) `26/52 = 1/2`

After drawing one card, number of cards left = 51

After drawing a black card, number of black card left = 25

∴ Probability of getting both the black cards, P(A) P(B/A) = `1/2 xx 25/51 = 25/102`.