Lessons

General Aptitude
34.1 Probability - General Questions

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Q.

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

View Answer

Correct choice: D

Explanation:

Let S be the sample space.

Then, n(S) = 52C2 = (52 x 51)/ = 1326.
(2 x 1)

Let E = event of getting 1 spade and 1 heart.

n(E) = number of ways of choosing 1 spade out of 13 and 1 heart out of 13
  = (13C1 x 13C1)
  = (13 x 13)
  = 169.
∴ P(E) = n(E)/ = 169/ = 13/ .
n(S) 1326 102
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