37.
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Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:
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Answer: Option D
Explanation:
Let S be the sample space.
Then, n(S) = 52C2 =
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(52 x 51)
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= 1326.
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(2 x 1)
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Let E = event of getting 1 spade and 1 heart.
n(E)
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= number of ways of choosing 1 spade out of 13 and 1 heart out of 13
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= (13C1 x 13C1)
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= (13 x 13)
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= 169.
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P(E) =
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n(E)
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=
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169
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=
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13
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.
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n(S)
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1326
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102
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