Practice question · Numerical answer
A and B are independent, with P(A) = 0.6 and P(B) = 0.5. Compute P(A and B).
Hints
- Independence is exactly the statement that the joint probability factorises.
- Multiply the two probabilities.
Show the answer
0.3 (answers within ±0.005 count)
Why
Independent probabilities multiply: 0.6 times 0.5 = 0.3. Note this is not zero, so A and B can perfectly well both occur, independent events are never mutually exclusive unless one of them is impossible.
Practise Conditional Probability and Independence
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