Question

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

Options

• 3/20

• 29/34

• 47/100

• 13/102

Answer 1

13/102

Explanation:

Total number of cards = 52

Number of spade cards = 13

Number of heart cards = 13

Two cards are drawn together.

⇒ Probability that one is a spade and one is a heart,

P = `(""^13C_1 xx ""^13C_1)/(""^52C_2) = (13 xx 13 xx 2)/(52 xx 51)`

P = `13/102`