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

Mathematics (NDA) 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?

10/103

13/102

14/101

16/105

Let S be the sample space.

Then ,n(s)= ⁵²C₂

=52 × 51/2 × 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

=13 × 13

=169

P(E)=169/1326

=13/102

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