Compound Probabilities FOR INTRO DATA SCIENCE Instructions:

Fill out the following 2-way frequency table about ice cream preferences. Then answer the
questions below.

Preferred Ice Cream Flavor

Vanilla
Chocolate
Rocky Road
TOTAL
Male
9
6
4
19
Female
3
6
3
12
TOTAL
12
12
7
31

Student
Gender

1. Show your work for each part of this question. What is the probability of randomly selecting:
a. A female?

b. A student who is male and prefers Rocky Road?

c. A student who is male and likes vanilla, or a student who is female and prefers
Chocolate?

2. For each part of this question, choose which scenario will have a higher probability. Support your A decision by including calculations.

a. A student who prefers vanilla, chocolate, or rocky road?

b. A female student who prefers vanilla, or a female student who prefers rocky road?

c. A female student who prefers chocolate, or a male student who prefers rocky road?