This question involves determining the probability $P(>7)$, where the spinner shown includes the numbers 1 through 12. The task is to calculate the probability that the spinner lands on a number greater than 7.

Step-by-Step Solution:

1. Identify the favorable outcomes: Numbers greater than 7 on the spinner are: $8, 9, 10, 11, 12$. There are 5 favorable outcomes.

2. Identify the total possible outcomes: The spinner has numbers $1$ through $12$, so there are 12 total outcomes.

3. Calculate the probability: The probability $P(>7)$ is given by: $P(>7) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{5}{12}.$

Final Answer:

$P(>7) = \frac{5}{12}.$

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Related Questions:

1. What is the probability of landing on a number less than or equal to 7?
2. What is the probability of landing on an odd number?
3. What is the probability of landing on a number that is a multiple of 3?
4. If the spinner is spun twice, what is the probability of landing on a number greater than 7 both times?
5. What is the probability of landing on any number divisible by 4?

Tip:

When solving probability questions, always count the favorable outcomes carefully and confirm the total possible outcomes to avoid errors.