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The image shows a problem involving odds and probability. It asks to find \( p(E) \) (the probability of event \( E \)) given that the odds of event \( E \) are 4:3.

Here's how we can solve this:

1. **Understanding Odds**: The odds \( o(E) = 4:3 \) means that the ratio of favorable outcomes to unfavorable outcomes is 4 to 3.

2. **Convert Odds to Probability**: The probability \( p(E) \) is the ratio of favorable outcomes to the total outcomes (favorable + unfavorable).

   \[
   p(E) = \frac{\text{favorable outcomes}}{\text{favorable outcomes} + \text{unfavorable outcomes}} = \frac{4}{4+3} = \frac{4}{7}
   \]

Thus, the probability \( p(E) = \frac{4}{7} \).

Would you like more details or have any questions?

Here are 5 follow-up questions to expand on this topic:

1. What is the difference between probability and odds?
2. How do you convert odds to probability in general?
3. What is the probability of the complement of event \( E \)?
4. How would the probability change if the odds were given as 3:4 instead of 4:3?
5. Can you express the odds in terms of probability?

**Tip**: When odds are given, always remember to sum the favorable and unfavorable outcomes to find the total possible outcomes for converting to probability.

If o(E) = 4:3, find p(E). (Enter your answer as a fraction.)

Learn how to find the probability of event E when the odds are given as 4:3. This solution explains the conversion of odds to probability, making it easy for students in Grades 6-8 to understand.

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