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.
1
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13. Counting & Probability
'And' Probabilities (Multiplication Rule)
Multiple Choice
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.
A
0.11
B
0.22
C
0.66
D
0.88
Verified step by step guidance1
First, identify the total number of regions on the spinner. In this case, there are 6 equal regions.
Next, count the number of yellow regions on the spinner. There are 2 yellow regions.
Calculate the probability of landing on yellow for the first spin. This is the number of yellow regions divided by the total number of regions: \( \frac{2}{6} \).
Now, calculate the probability of not landing on yellow on the second spin. There are 4 non-yellow regions, so the probability is \( \frac{4}{6} \).
To find the combined probability of both events (landing on yellow first and not landing on yellow second), multiply the probabilities of each event: \( \frac{2}{6} \times \frac{4}{6} \).
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