Question

if two cards are selected from a standard deck of 52 cards without replacement. what is the probability that both are club cards?

Answer 1

1/17

Explanation:

Total number of outcomes=52

Since cards are selected without replacement, one card cannot be selected twice.

Number of club cards in a deck of 52 cards=13

Probability of drawing first club card from the deck=13/52

Probability of drawing second club card from the deck=12/51

Probability that both the cards are drawn from the deck are clubs without replacement = 13/52*12/51 = 1/4*4/17 = 1/17