Practice Definition - 4.1.1 | 4. Conditional Probability | Mathematics - iii (Differential Calculus) - Vol 3
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Definition

4.1.1 - Definition

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Learning

Practice Questions

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Question 1 Easy

Define conditional probability in your own words.

💡 Hint: Think of it as narrowing down the possibilities.

Question 2 Easy

What does the formula P(A|B) represent?

💡 Hint: Focus on the relationships between the events.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does P(A|B) represent?

The probability of A given B
The probability of B given A
The joint probability of A and B

💡 Hint: Think about how one event affects the other.

Question 2

True or False: If P(B) = 0, we can calculate P(A|B).

True
False

💡 Hint: Consider the implications of dividing by zero.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A medical test has a 95% accuracy for a disease found in 1% of the population. If someone tests positive, what is the probability they actually have the disease?

💡 Hint: Break it down step by step using provided formulas.

Challenge 2 Hard

In a factory, 70% of incidents are due to machinery failure, 10% due to human error, and 20% due to external factors. If an incident occurs, what is the probability it was due to machinery failure?

💡 Hint: Consider the weighting of each factor when calculating probability across all incidents.

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