Question

a card is picked at random from a standard deck of cards. what is the sample space for this experiment if you were trying to find ( p(\text{face card}) )?
a. sample space ( = 12 )
b. sample space ( = \frac{3}{13} )
c. sample space ( = \frac{12}{52} )
d. sample space ( = 52 )
please select the best answer from the choices provided

Explanation:

Step1: Recall the definition of sample space

The sample space is the set of all possible outcomes.

Step2: Analyze a standard deck of cards

A standard deck has 52 cards. When picking a card, any of the 52 cards can be the outcome.
So the sample space size is 52.

Answer:

D. Sample space = 52