Quantitative - Mathematics - Word Problems:

Probability

MCQ - 150-12917

Question:

There is a pack of 52 cards and Reehan draws two cards together, what is the probability that one is spade and one is heart ?

11/102
13/102
11/104
13/102

Correct Answer: B

Explanation:

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

Let sample space be S

then, n(S) = ⁵²C₂ = $\frac{52 × 51}{2 × 1}$ = 1326

let E be event of getting 1 spade and 1 heart

So, n(E) = ways of getting 1 spade or 1 heart out of 13

= ¹³C₁ × ¹³C₁

= 13 × 13

= 169

So, p(E) = $\frac{n(E)}{n(S)}$

= $\frac{169}{1326}$ = $\frac{13}{102}$

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1297 MCQ for effective preparation of the test of Probability of Word Problems section.

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