Question

A spinner has two sections with a 90° angle creating the smaller section. The spinner is spun twice.

What is the probability distribution for the sums of the results?
A. 0°, 45°, 90°, 135°
B. 45°, 90°, 135°, 180°
C. 90°, 135°, 180°, 225°
D. 135°, 180°, 225°, 270°

Answer 1

The probability distribution for the sums of the results when spinning a spinner with two sections and a 90° angle is 180°, 270°, 270°, and 0°.

Step-by-step explanation:

To find the probability distribution for the sums of the results when spinning a spinner with two sections and a 90° angle, we need to consider all the possible outcomes.

Each spin can result in either 90° or 180°, giving us four possible sums:

90° + 90° = 180°, 90° + 180° = 270°, 180° + 90° = 270°, and 180° + 180° = 360°.

However, since the spinner is a closed system, it cannot go beyond 360°, so we wrap the values back around. Therefore, the probability distribution for the sums of the spinner results is 180°, 270°, 270°, and 0°.