Four cards are drawn from a pack of 52 cards without replacement. Find the probability that all of them are jack.

Answer

N/a

Explanation

Probability that first card drawn is a jack `=4/52=1/13`
This card is not replaced in the pack. Now there remains 51 cards in the pack in which 3 are jack.
Probability that 2nd card drawn is jack `=3/51=1/17`
Similarly,
Probability that 3rd card drawn is jack `=2/50=1/25`
and the probability that 4th card drawn is jack `=1/49`
These four events are independent events.
Therefore, the required probability
`=1/13xx1/17xx1/25xx1/49`
`=1/270725`