Question

Three cards are chosen at random from a deck without replacement. What is the probability of getting a jack, a ten and a nine in order?

Answer 1

`8/16575`

Explanation:

The probability of drawing one of `4` jacks from `52` cards is `4/52=1/13`

The probability of choosing one of `4` tens from the `51` remaining cards is
`4/51`

The probability of choosing one of `4` nines from the `50` remaining cards is
`4/50=2/25`

As these events are independent, we may multiply their respective probabilities to find the probability of all three occurring, thereby obtaining our answer of

`1/13*4/51*2/25 = 8/16575`