Question

The probability that three cards drawn from a pack of 52 cards, all are red is ______.

Options

• `1/17`

• `4/17`

• `3/17`

• `2/17`

Answer 1

The probability that three cards drawn from a pack of 52 cards, all are red is `underline(2/17)`.

Explanation:

Total number of ways that three card drawn from a pack of 52 cards are ⁵²C₃ and number of ways that three red. cards drawn are ²³C₃.

∴ Required probability = `(""^26C_3)/("^52C_3)`

`= (26 xx 25 xx 24)/(52 xx 51 xx 50)`

`= 2/17`