Question

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a queen and then without replacement a face card?express your answer as a fraction or decimal rounded to four decimal places

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

total cards = 52

Step 02:

probability:

p(event) = favorable outcomes / total outcomes

total cards = 52

total queens = 4

total face cards = 12

first event (queen):

p(queen) = 4 / 52

second event (face card):

without replacement

p(face card) = 11 / 51

total probability (queen and face card):

`p(queen\text{ }and\text{ }face\text{ }card)=(4)/(52)*(11)/(51)=(44)/(2652)=0.0166`

The answer is:

p (queen and face card) = 0.0166