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The problem in the image is asking for the probability that a randomly selected day in April will be either rainy or windy, given the following probabilities:

- Probability of rain on any day in April: \( P(\text{rain}) = 25\% = 0.25 \)
- Probability of wind on any day in April: \( P(\text{wind}) = 37\% = 0.37 \)
- Probability of both rain and wind on the same day: \( P(\text{rain and wind}) = 11\% = 0.11 \)

To solve this, we can use the formula for the union of two events \( A \) (rain) and \( B \) (wind):
\[
P(A \cup B) = P(A) + P(B) - P(A \cap B)
\]
Where:
- \( P(A \cup B) \) is the probability of either rain or wind,
- \( P(A) \) is the probability of rain,
- \( P(B) \) is the probability of wind,
- \( P(A \cap B) \) is the probability of both rain and wind.

Plugging in the values:
\[
P(\text{rain or wind}) = 0.25 + 0.37 - 0.11 = 0.51
\]

So, the probability that a randomly selected day in April will be either rainy or windy is 51%.

Would you like further details, or do you have any questions?

Here are 5 related questions to expand on this:
1. What is the probability that a day will be neither rainy nor windy?
2. How would the result change if the probability of rain and wind occurring together was 0?
3. What if the probabilities of rain and wind were independent events? How would that affect the calculation?
4. How can this probability be used to predict the weather for multiple days in April?
5. What is the relationship between mutually exclusive events and this problem?

**Tip:** When events are not mutually exclusive, remember to subtract the intersection (both events happening) to avoid double-counting.

The probability of rain on any day in the month of April is 25%. The probability that it will be windy on any day in the month of April is 37%, and the probability of both is 11%. What is the probability that a randomly selected day in April will be rainy or windy?

Learn how to calculate the probability of either rain or wind occurring on a randomly selected day in April. This problem involves key concepts of probability, including the union of events and the inclusion-exclusion principle. The probability of rain is 25%, wind is 37%, and both occurring together is 11%. Suitable for students in Grades 9-12.

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