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:
[A].
[A].
3 |
20 |
[B].
29 |
34 |
[C].
47 |
100 |
[D].
13 |
102 |
Answer: Option D
Explanation:
Let S be the sample space.
Then, n(S) = 52C2 = | (52 x 51) | = 1326. |
(2 x 1) |
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 x 13C1) | |
= (13 x 13) | |
= 169. |
P(E) = | n(E) | = | 169 | = | 13 | . |
n(S) | 1326 | 102 |