Question
Two cards are drawn successively without replacement
from a standard deck of 52 cards. Find the probability that both cards are of the same suit.Solution
ATQ, Total number of ways to choose 2 cards from 52: = 52C2 = 1326 Favourable ways: Choose a suit in 4 ways, and 2 cards of that suit from 13: 4 × 13C2 = 4 × 78 = 312 Probability = 312 / 1326 = (312 ÷ 6) / (1326 ÷ 6) = 52 / 221
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