14
QuizMultiple Choice

Applications of Probability — Test

Question 14 • Mathematics II

Will surveyed students at his school about whether they have ever gone snowboarding and whether they own a skateboard. He found that 35 of the 99 students who own a skateboard have snowboarded. Also, there were 13 students who have snowboarded but do not own a skateboard, and 147 students who have never gone snowboarding and do not own a skateboard. Which two-way table correctly displays these data?

Answer
A
Table with 4 columns and 4 rows.Row 1: Column 1, empty; Column 2, 'Have Snowboarded'; Column 3, 'Never Snowboarded'; Column 4, 'Total' Row 2: Column 1, 'Skateboard'; Column 2, '35'; Column 3, '13'; Column 4, '48' Row 3: Column 1, 'No Skateboard'; Column 2, '99'; Column 3, '147'; Column 4, '246' Row 4: Column 1, 'Total'; Column 2, '134'; Column 3, '160'; Column 4, '294'
B
Table with 4 columns and 4 rows.Row 1: Column 1, empty; Column 2, 'Have Snowboarded'; Column 3, 'Never Snowboarded'; Column 4, 'Total' Row 2: Column 1, 'Skateboard'; Column 2, '35'; Column 3, '13'; Column 4, '48' Row 3: Column 1, 'No Skateboard'; Column 2, '64'; Column 3, '147'; Column 4, '211' Row 4: Column 1, 'Total'; Column 2, '99'; Column 3, '160'; Column 4, '256'
C
Table with 4 columns and 4 rows.Row 1: Column 1, empty; Column 2, 'Have Snowboarded'; Column 3, 'Never Snowboarded'; Column 4, 'Total' Row 2: Column 1, 'Skateboard'; Column 2, '35'; Column 3, '64'; Column 4, '99' Row 3: Column 1, 'No Skateboard'; Column 2, '13'; Column 3, '147'; Column 4, '160' Row 4: Column 1, 'Total'; Column 2, '48'; Column 3, '211'; Column 4, '259'
D
Table with 4 columns and 4 rows.Row 1: Column 1, empty; Column 2, 'Have Snowboarded'; Column 3, 'Never Snowboarded'; Column 4, 'Total' Row 2: Column 1, 'Skateboard'; Column 2, '35'; Column 3, '99'; Column 4, '134' Row 3: Column 1, 'No Skateboard'; Column 2, '13'; Column 3, '147'; Column 4, '160' Row 4: Column 1, 'Total'; Column 2, '48'; Column 3, '246'; Column 4, '294'

Explanation

The skateboard-owning row has 99 students total, and 35 have snowboarded, so 99 − 35 = 64 have never snowboarded. The no-skateboard row contains 13 who have snowboarded and 147 who have never snowboarded, for a total of 160. Adding the columns gives 35 + 13 = 48 who have snowboarded and 64 + 147 = 211 who have never snowboarded, for 259 students overall. These values match the table in choice A.

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