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 types multiplied by 5 colors equals 25 different type/color combinations.
B. Since there are 25 shoes and 5 of them are baseball shoes, the probability of selecting a baseball shoe is 5 out of 25 or one-fifth. Therefore, the answer is B.
a. To calculate the number of different type/color combinations offered by the store, we need to multiply the number of types by the number of colors. In this case, there are 5 types of shoes (Walking, Basketball, Cross-Trainer, Badminton, and Baseball) and 5 colors (Black, Blue, Red, White, and Silver), so the total number of different type/color combinations is 5 x 5 = 25.
Therefore, the store offers 25 different type/color combinations.
b. Since the store has equal numbers of each shoe, and there are a total of 5 types of shoes, the probability of selecting a baseball shoe randomly would be 1 out of 5.
Therefore, the correct answer is:
D. 10; one-fifth.