Question

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a jack and then, without replacement, a king? Express your answer as a fraction or a decimal number rounded to four decimal places. Answer

Answer 1

`(4)/(663)`

Explanation:

withdrawing 1st card:

S = 52

Jacks = 4

`P(Jack)=(4)/(52)`

`=(1)/(13)`

withdrawing 2nd card:

S = 51 (without replacement)

Kings = 4

`P(King)=(4)/(51)`

P(1st Jack + 2nd King) =
`(1)/(13)*(4)/(51)`

`=(4)/(663)`