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: $\dfrac{1}{5525}$

Step-by-step 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 :-

$52\times51\times50=132600$

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

$4\times3\times2=24$

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

$\dfrac{24}{132600}=\dfrac{1}{5525}$

Hence, the  probability of choosing 3 king cards  =$\dfrac{1}{5525}$