Practice Formulae Summary - 4.1.3 | 4. Conditional Probability | Mathematics - iii (Differential Calculus) - Vol 3
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Formulae Summary

4.1.3 - Formulae Summary

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Practice Questions

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Question 1 Easy

What is the conditional probability formula?

💡 Hint: Remember it involves the joint probability divided by the probability of the condition.

Question 2 Easy

Are two events independent if P(A|B) = P(A)?

💡 Hint: Consider if the occurrence of one affects the other.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

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)

💡 Hint: Look for the formula that includes both events A and B.

Question 2

True or False: If two events are independent, P(A|B) = P(A).

True
False

💡 Hint: Consider what independence means in probability terms.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

In a deck of cards, what is the probability of drawing a red card given that an ace has been drawn?

💡 Hint: Consider how many cards are left after one draw.

Challenge 2 Hard

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?

💡 Hint: Think about how many red marbles are left and total marbles remaining.

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