In a standard deck of playing cards, there is a total of 52 cards, 12 of which are face cards, such as queens, kings, and jacks.What is the formula for the expected relative-frequency probability of drawing a single face card from the deck of cards?
A) 3/52
B) 12/52
C) (12 - 3)/52
D) 52/12

Question

Quizplus · Accepted Answer

The formula for expected relative-frequency probability is:

Number of desired outcomes / Total number of possible outcomes

Out of the 52 cards, there are 12 face cards, so the number of desired outcomes is 12. The total number of possible outcomes is 52. Thus, the formula gives:

12/52 = 3/13

So the expected relative-frequency probability of drawing a single face card from the deck of cards is 3/13. Therefore, the best choice is B, which is the closest option to 3/13.

In a Standard Deck of Playing Cards, There Is a Total