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

Quantitative Aptitude ( CCS) Probability

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

13/102

3/20

29/94

35/39

Let S be the sample space.

Then, n(S) = 52C2

=(52 x 51)/(2 x 1) = 1326.

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*13C1 = 169.

P(E) = n(E)/n(S) = 169/1326 = 13/102.

Hence, option 1 is the correct answer.

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