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Flip to reveal answersWhat does it mean for two events to be independent?
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All 9 Flashcards — Independent events
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Question
What does it mean for two events to be independent?
Answer
One event happening doesn't change the probability of the other.
Question
State the multiplication rule for independent events.
Answer
P(A ∩ B) = P(A) × P(B).
Question
How do you test whether A and B are independent?
Answer
Check whether P(A ∩ B) equals P(A) × P(B).
Question
What does mutually exclusive mean?
Answer
The events cannot both happen, so P(A ∩ B) = 0.
Question
What is P(A ∪ B) for mutually exclusive events?
Answer
P(A) + P(B).
Question
Are mutually exclusive events independent?
Answer
No — if they can't co-occur, knowing one occurred changes the other's probability, so they are dependent.
Question
Write P(A ∪ B) for independent events.
Answer
P(A) + P(B) − P(A)·P(B).
Question
How do you find a missing probability for independent events?
Answer
Substitute P(A ∩ B) = P(A)·P(B) into the addition rule and solve.
Question
Independent A, B with P(A)=0.6, P(B)=0.5: P(both)?
Answer
0.6 × 0.5 = 0.3.
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Full study notes for Independent events
Topic 4.6 hub
Combined & conditional events
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Math AA SL exam skills
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