Question

jessica has three sport cards, one for football (f), one for baseball (b), and one for soccer (s). she picks one card, replaces it, and then picks another card. the sample - space for this compound event is listed.
sample space
f - b bb sb
ff bf sf
fs bs ss
what is the sample size for the compound event?
a. 3
b. 6
c. 9
d. 12

Explanation:

Step1: Identify number of choices for first pick

There are 3 choices (F, B, S).

Step2: Identify number of choices for second pick

Since card is replaced, there are 3 choices again.

Step3: Calculate sample - size

By multiplication principle, \(3\times3 = 9\).

Answer:

C. 9