Practice question · Select all that apply
Select every statement that is equivalent to 'A and B are independent', assuming both have positive probability.
Hints
- Independence says information about one does not change the other.
- Two of the options are descriptions of mutual exclusivity instead.
Show the answer
- B. P(A given B) = P(A)
- C. P(A and B) = P(A) times P(B)
- D. P(B given A) = P(B)
Why
The first three are the same statement written three ways, and each implies the others. The last two both describe disjoint events, which for positive probabilities is exactly the opposite situation.
Practise Conditional Probability and Independence
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