Practice Conditional Probability (7) - Probability - IB 10 Mathematics

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6 sample questions

Question 1.
What is the conditional probability of rolling a 6 on a die if you know it's an even number?
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Think about the possible outcomes of the die.
Question 2.
If two cards are drawn from a deck without replacement, what is the probability that both are hearts?
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Use combinations to find the total favorable outcomes.
3Question 3.
What is conditional probability?
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Remember the formula P(A | B).
4Question 4.
If two events A and B are independent, then P(A ∩ B) equals what?
- P(A) + P(B)
- P(A) × P(B)
- P(A | B)
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Think about non-affecting events.
Question 5.
A medical test has a false positive rate of 5% and a false negative rate of 10%. Given that a patient is healthy, what is the probability that they test positive for the disease?
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You will need to define the cases clearly.
Question 6.
Consider a polluted water source. If 30% are hazardous and 60% of hazardous sources show contamination, find the chance a contaminated source is hazardous.
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Assess each part of the scenario carefully.

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