Question
Download Solution PDFFor any two independent events A and B, P(A - B) is equal to:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Two independent events A and B
Formula Used:
P(A - B) = P(A) - P(A ∩ B)
For independent events, P(A ∩ B) = P(A) × P(B)
Calculation:
We need to find P(A - B).
P(A - B) = P(A) - P(A ∩ B)
Since A and B are independent events:
P(A ∩ B) = P(A) × P(B)
Therefore, P(A - B) = P(A) - P(A) × P(B)
Solution:
P(A - B) = P(A) - P(A) × P(B)
P(A - B) = P(A)(1 - P(B))
Therefore, P(A - B) = P(A)(1 - P(B)).
Last updated on Jul 10, 2025
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