Shoe Bargain Corner
Types Colors
Walking
Basketball
Cross-Trainer
Badminton
Baseball Black
Blue
Red
White
Silver
You notice the sign above at a mall.
a. How many different type/color combinations does the store offer?
b. Suppose the store has equal numbers of each shoe. You select a shoe at random. What is the probability of selecting a baseball shoe?
A. 5; one over twenty-five
B. 25; one-fifth
C. 10; one over twenty-five
D. 10; one-fifth
A. 5; one over twenty-five (since there are 5 types and only one color for each type, so there are 5 different type/color combinations)
B. One out of 25 shoes is a baseball shoe, so the probability is one over twenty-five. Answer: A.
a. To determine the number of different type/color combinations, we need to multiply the number of shoe types (5) by the number of colors (5).
5 types x 5 colors = 25 different type/color combinations
Therefore, the store offers 25 different type/color combinations.
b. Since there are 5 types of shoes and each type has an equal number of colors (5), there are a total of 5 x 5 = 25 shoes in the store.
Since baseball shoes are one type out of the 5 types available, the probability of selecting a baseball shoe at random is:
1 (number of baseball shoe types) / 25 (total number of shoes) = 1/25
Therefore, the probability of selecting a baseball shoe is one over twenty-five or 1/25, which corresponds to option A.