Question
PROBLEM SET 1: Determining Probabilities
You spin a spinner with equal-sized sections, as shown. Determine the probability.
A spinner is divided into 5 equals sections. 2 of the sections are gray, 2 of the sections are blue, and 1 of the sections are white.
PPP(landing on white)
You spin a spinner with equal-sized sections, as shown. Determine the probability.
A spinner is divided into 5 equals sections. 2 of the sections are gray, 2 of the sections are blue, and 1 of the sections are white.
PPP(landing on white)
Answers
GPT-4o mini
To determine the probability of landing on white when spinning the spinner, you can use the formula for probability:
\[
P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case, the favorable outcome is landing on the white section.
1. **Number of favorable outcomes**: There is 1 section that is white.
2. **Total number of outcomes**: There are a total of 5 sections (2 gray, 2 blue, and 1 white).
Thus, the probability \( P \) of landing on white is:
\[
P(\text{landing on white}) = \frac{1}{5}
\]
Therefore, the probability of landing on white when you spin the spinner is \(\frac{1}{5}\) or 0.2.
\[
P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case, the favorable outcome is landing on the white section.
1. **Number of favorable outcomes**: There is 1 section that is white.
2. **Total number of outcomes**: There are a total of 5 sections (2 gray, 2 blue, and 1 white).
Thus, the probability \( P \) of landing on white is:
\[
P(\text{landing on white}) = \frac{1}{5}
\]
Therefore, the probability of landing on white when you spin the spinner is \(\frac{1}{5}\) or 0.2.