Two cards are drawn together from a pack of 52 cards. The probability that one is a club and one is a diamond ?
A. 13/51
B. 1/52
C. 13/102
D. 1/26
Answer : C. 13/102…
Explanation:
n(S) = Total number of ways of drawing 2 cards from 52 cards = 52C2.
Let E = event of getting 1 club and 1 diamond.
We know that there are 13 clubs and 13 diamonds in the total 52 cards.
Hence, n(E) = Number of ways of drawing one club from 13 and one diamond from 13 = 13C1 × 13C1 = 13/102
P(E) = n(E)/n(S)
= (13C1 × 13C1) / 52C2
= 13/102.
