Understanding Independent/Dependent Events
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Beginner
Start here! Easy to understand
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Beginner Explanation
Independent events are those where the occurrence of one does not affect the occurrence of another: $P(A \text{ and } B) = P(A) \times P(B)$.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
If you flip a coin twice, what is the probability of getting two heads? $P(H \text{ and } H)$
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
A bag contains 5 red marbles and 5 blue marbles. Imagine drawing two marbles from this bag without replacement. What is the probability that both marbles drawn are red?
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Are the events of drawing a red card and then a black card from a standard 52-card deck without replacement independent?
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4
Challenge Quiz
Single Choice Quiz
Advanced
What is the probability of rolling a 4 on two separate dice rolls? $P(4 \text{ and } 4)$
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