Question

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

Answer 1

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

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

l

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.