Practice Applications Of Conditional Probability (4.1.5) - Conditional Probability

Practice: Applications of Conditional Probability

Lesson 4.1.5Conditional Probability

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8 questions

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6 sample questions

Question 1.
What is the definition of conditional probability?
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Think about how one event's occurrence affects another.
Question 2.
Write down the formula for conditional probability.
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Recall the relationship between the intersection of A and B.
3Question 3.
What does P(A|B) signify?
- Probability of A given B
- Probability of B given A
- Both A and B occur
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Think about what condition is applied here.
4Question 4.
True or False: If P(A ∩ B) = 0, A and B are independent events.
- True
- False
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Define mutual exclusivity.
Question 5.
In a quality control scenario, suppose 3% of products are defective. If a specific test indicates a product is defective 95% of the time when it is defective and 10% of the time when it is not defective, what is the probability a product is actually defective given a test reading of defective?
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Establish what proportions become pivotal in the context.
Question 6.
A poll shows that 60% of voters favor candidate A. If it rains, the chance of voting increases to 80%. Calculate the conditional probability that a voter favors A given that it rains.
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Apply the formula accordingly with conditional inputs.

4 more questions in this section. Enroll free to practise them all.