Question

what is the probability of spinning a yellow?
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what is the probability of spinning a yellow or a green?
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what is the sum of the probabilities for all possible outcomes?
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Explanation:

First Sub - Question: Probability of spinning a yellow

Step1: Determine total sections

The spinner is divided into 4 equal sections (yellow, blue, red, green). So total number of possible outcomes \( n = 4 \).

Step2: Determine favorable outcomes for yellow

The number of yellow sections \( m = 1 \).

Step3: Calculate probability

Probability \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{1}{4} \).

Step1: Determine total sections

Total number of sections \( n = 4 \).

Step2: Determine favorable outcomes for yellow or green

Number of yellow sections \( = 1 \), number of green sections \( = 1 \). So total favorable outcomes \( m=1 + 1=2 \).

Step3: Calculate probability

Probability \( P=\frac{2}{4}=\frac{1}{2} \).

Step1: Recall probability of each section

Probability of yellow \(=\frac{1}{4}\), blue \(=\frac{1}{4}\), red \(=\frac{1}{4}\), green \(=\frac{1}{4}\).

Step2: Sum the probabilities

Sum \( S=\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{4}{4} = 1 \).

Answer:

\( \frac{1}{4} \) (so the numerator is 1, filling 1 in the first box)

Second Sub - Question: Probability of spinning a yellow or a green