3
lesson pretestMultiple Choice

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Question 3 • Algebra 2 with Probability

A popular board game has players twist their bodies around so that their hands and feet touch small colored dots. A spinner with equal areas for each body part (left hand, right hand, left foot, or right foot) is used. Which of the following is the correct probability distribution for the body part chosen to be placed?

Answer
A
Table with 4 columns and 2 rows.Row 1: Column 1, 'LH'; Column 2, 'RH'; Column 3, 'LF'; Column 4, 'RF' Row 2: Column 1, '0 point 2 5'; Column 2, '0 point 2 5'; Column 3, '0 point 2 5'; Column 4, '0 point 2 5'
B
Table with 4 columns and 2 rows.Row 1: Column 1, 'LH'; Column 2, 'RH'; Column 3, 'LF'; Column 4, 'RF' Row 2: Column 1, '4'; Column 2, '4'; Column 3, '4'; Column 4, '4'
C
Table with 4 columns and 2 rows.Row 1: Column 1, 'LH'; Column 2, 'RH'; Column 3, 'LF'; Column 4, 'RF' Row 2: Column 1, '1'; Column 2, '1'; Column 3, '1'; Column 4, '1'
D
Table with 4 columns and 2 rows.Row 1: Column 1, 'LH'; Column 2, 'RH'; Column 3, 'LF'; Column 4, 'RF' Row 2: Column 1, '0 point 5 0'; Column 2, '0 point 2 5'; Column 3, '0 point 5 0'; Column 4, 'negative 0 point 2 5'

Explanation

The spinner has four equally sized sections, one for each body part: left hand, right hand, left foot, and right foot. Since each section is equally likely, each body part has probability 1 ÷ 4 = 0.25. Choice A assigns a probability of 0.25 to each body part.

AI-written and checked against the verified answer.

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