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1. [50%] Favorite Starburst Color/Flavor A pack of Original Starbursts contains four colors/flavors:
red (cherry), orange (orange), yellow (lemon), and pink (strawberry). A recent survey asked people
what their favorite Starburst color (or flavor) is. They asked 756 people and recorded their favorite
color (or flavor) and their age group. The table below provides the results:
What is your favorite Original Starburst color (flavor)?
Red (Cherry) Orange (Orange) Yellow (Lemon) Pink (Strawberry) Total
Age Group
Children (6-12 years old)
81
Teenagers (13 - 19 years old)
69
25
32
28
225
85
Young Adults (20 - 26 years old) 75
Total
24
124
30
121
33
114
87
359
254
252
250
756
a) What is the probability that a randomly selected survey respondent selects Pink (Straw-
berry) as their favorite Starburst color (flavor)?
b) What is the probability that a randomly selected survey respondent is a Teenager AND
selects Pink (Strawberry) as their favorite Starburst color (flavor)?
c) What is the probability that a randomly selected survey respondent is a Teenager OR selects
Pink (Strawberry) as their favorite Starburts color (flavor)?
2. [50%] Winning at Tennis A player serving in tennis has two chances to get a serve into play. If the
first serve is out, the player serves again. If the second serve is also out, the player loses the point.
Here are probabilities based on four years of the Wimbledon Championship:
P(1st serve in) = .47
P(win point 1st serve in) = .69
P(2nd serve in Irst serve out) = .77
P(win point 1st serve out and 2nd serve in) .49
Make a tree diagram for the results of the two serves and the outcome (win or lose) of the point.
(The branches in your tree have different numbers of stages, depending on the outcome of the
first serve.) What is the probability that the serving player wins the point?
