Math Problem Statement
Two events A and B have probabilities: P left parenthesis A right parenthesis equals 0.36 comma space P left parenthesis B right parenthesis equals space 0.45 comma space P left parenthesis A intersection B right parenthesis space equals space 0.06. What are the odds in favor of event A?
Solution
To find the odds in favor of event , we use the following formula:
Given:
Now, let's calculate the odds:
Simplifying the fraction:
Therefore, the odds in favor of event are or when expressed as a ratio. This can be interpreted as the odds being 9 to 16 in favor of event .
Would you like more details or have any questions?
Here are 5 related questions:
- What are the odds against event ?
- How do you calculate the probability of event (union of and )?
- What is the probability that neither nor happens?
- How are the odds in favor of an event different from the event's probability?
- If the events and are independent, what does become?
Tip: Odds represent the ratio of favorable to unfavorable outcomes, while probability focuses on favorable outcomes relative to the total possible outcomes.
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Math Problem Analysis
Mathematical Concepts
Probability
Odds
Formulas
Odds in favor of A = P(A) / (1 - P(A))
Theorems
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Suitable Grade Level
Grades 9-11