Practice Formulae Summary (4.1.3) - Conditional Probability - Mathematics - iii (Differential Calculus)

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6 sample questions

Question 1.
What is the conditional probability formula?
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Remember it involves the joint probability divided by the probability of the condition.
Question 2.
Are two events independent if P(A|B) = P(A)?
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Consider if the occurrence of one affects the other.
3Question 3.
What is the correct formula for conditional probability?
- P(A) = P(A|B) * P(B)
- P(A|B) = P(A ∩ B) / P(B)
- P(B|A) = P(B) / P(A)
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Look for the formula that includes both events A and B.
4Question 4.
True or False: If two events are independent, P(A|B) = P(A).
- True
- False
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Consider what independence means in probability terms.
Question 5.
In a deck of cards, what is the probability of drawing a red card given that an ace has been drawn?
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Consider how many cards are left after one draw.
Question 6.
A bag contains 3 red and 2 blue marbles. If one is drawn and is known to be red, what is the probability of drawing a second red marble?
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Think about how many red marbles are left and total marbles remaining.

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