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If A and B are two events such that P(A) = p, P(B) = q, P ( A ∩ B ) = r then the probability that A occurs but B does not occur is
  • a)
    p-r
  • b)
    p-q
  • c)
    p-qr
  • d)
    p-pq
Correct answer is option 'A'. Can you explain this answer?
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If A and B are two events such that P(A) = p, P(B) = q, P ( A ∩ B ...
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If A and B are two events such that P(A) = p, P(B) = q, P ( A ∩ B ...
Probability that A occurs but B does not occur
Probability of event A occurring but event B not occurring can be calculated by finding the probability of A occurring and subtracting the probability of both A and B occurring.

Given probabilities:
- P(A) = p
- P(B) = q
- P(A ∩ B) = r

Calculation:
- Probability of A occurring but B not occurring = P(A) - P(A ∩ B)
- Hence, the probability = p - r
Therefore, the correct answer is option 'A' which is p - r. This calculation is based on the definition of probabilities of events and their intersections in probability theory.
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If A and B are two events such that P(A) = p, P(B) = q, P ( A ∩ B ...
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