Math Problem Statement
Solution
The image shows a problem involving odds and probability. It asks to find (the probability of event ) given that the odds of event are 4:3.
Here's how we can solve this:
-
Understanding Odds: The odds means that the ratio of favorable outcomes to unfavorable outcomes is 4 to 3.
-
Convert Odds to Probability: The probability is the ratio of favorable outcomes to the total outcomes (favorable + unfavorable).
Thus, the probability .
Would you like more details or have any questions?
Here are 5 follow-up questions to expand on this topic:
- What is the difference between probability and odds?
- How do you convert odds to probability in general?
- What is the probability of the complement of event ?
- How would the probability change if the odds were given as 3:4 instead of 4:3?
- 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.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Probability
Odds
Formulas
p(E) = \frac{\text{favorable outcomes}}{\text{favorable outcomes} + \text{unfavorable outcomes}}
Theorems
-
Suitable Grade Level
Grades 6-8