From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
Question: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
[A].
[A].
| 1 |
| 15 |
[B].
| 25 |
| 57 |
[C].
| 35 |
| 256 |
[D].
| 1 |
| 221 |
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 2 kings out of 4.
| n(E) = 4C2 = | (4 x 3) | = 6. |
| (2 x 1) |
| P(E) = | n(E) | = | 6 | = | 1 | . |
| n(S) | 1326 | 221 |