Math Problem Statement
Given the data: Was married = 40% Not yet married = 60%
If two people are selected, what is the probability that the first one was married while the second one is not married?
Select one:
a.
36%
b.
10%
c.
24%
d.
100%
Solution
To solve this problem, we need to calculate the probability that the first person selected is "married" and the second person is "not yet married."
Given:
- Probability that a person is "married" = 40% = 0.4
- Probability that a person is "not yet married" = 60% = 0.6
The probability that the first person is "married" and the second is "not yet married" is the product of the individual probabilities:
Thus, the probability is 24%, which corresponds to option c.
Answer: c. 24%
Do you need more details or have any questions? Here are 8 related questions to explore further:
- What is the probability that the first person is not married and the second one is also not married?
- What is the probability that the first person is married and the second one is also married?
- If two people are selected, what is the probability that one of them is married?
- How does the sequence of selection (first or second) affect the probabilities?
- What if the probabilities were reversed (60% married, 40% not married)?
- How would the probability change if three people were selected?
- What is the probability that exactly one person out of two is married?
- How do these types of problems relate to concepts like independence and conditional probability?
Tip: When dealing with independent events, always multiply the
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Math Problem Analysis
Mathematical Concepts
Probability
Independent Events
Formulas
-
Theorems
-
Suitable Grade Level
Grades 10-12
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