Question

A total of 3 cards are chosen at random, without replacing them, from a standard deck of 52 playing cards. What is the probability of choosing 3 king cards? 113⋅351⋅125=15525 113⋅113⋅113=313 452⋅352⋅252=417576 113⋅113⋅113=42197

Answer 1

Answer:
`(1)/(5525)`

Explanation:

The total number of cards =52

The number of kings in the cards = 4

If repetition is not allowed , then the total number of ways of choosing 3 cards will be :-

`52*51*50=132600`

The number of ways of choosing 3 kings will be :-

`4*3*2=24`

Now, the probability of choosing 3 king cards will be :-

`(24)/(132600)=(1)/(5525)`

Hence, the probability of choosing 3 king cards =
`(1)/(5525)`