Multiple Choice
The spinner below has 6 equal colored regions numbered 1-6. Find the probability of stopping on yellow for the first spin, stopping on an even number on the second spin, and stopping on blue or red on the third spin.
4. Probability
Multiplication Rule: Independent Events
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The spinner below has 6 equal regions. Find the probability of landing on yellow for the first spin and not landing on yellow on the second spin.
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Verified step by step guidance1
Identify the total number of regions on the spinner. In this case, there are 6 equal regions.
Count the number of yellow regions on the spinner. There are 2 yellow regions.
Calculate the probability of landing on yellow in the first spin. This is the number of yellow regions divided by the total number of regions: \( \frac{2}{6} \).
Calculate the probability of not landing on yellow in the second spin. Since there are 4 non-yellow regions, the probability is \( \frac{4}{6} \).
Multiply the probability of landing on yellow in the first spin by the probability of not landing on yellow in the second spin to find the combined probability: \( \frac{2}{6} \times \frac{4}{6} \).
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