QA – Placement Quizzes | Probability | Question 14
Two cards are drawn together from a pack of 52 cards. What is the probability that one is a spade and one is a heart?
Explanation: Number of ways to draw 2 cards from a pack of 52 cards = 52C2 = 1326.
Number of ways to draw a spade from 13 spades = 13C1 = 13.
Number of ways to draw a heart from 13 hearts = 13C1 = 13.
Number of ways to draw a spade and a heart = 13 * 13 = 169.
Therefore, required probability = 169/1326 = 13/102.
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