imo class 12 probability

For three mutually independent events A, B, and C, the probability that at least one of them occurs is given by:

VAVidaara Admin Asked 6d ago 0 views 0 answers

For three mutually independent events A, B, and C, the probability that at least one of them occurs is given by:

  • A. 1 − (P(A) + P(B) + P(C))
  • B. 1 − P(A')P(B')P(C')
  • C. P(A)P(B)P(C)
  • D. P(A) + P(B) + P(C)

Answer: B) 1 − P(A')P(B')P(C')

Explanation: The probability of at least one occurring is 1 minus the probability of none occurring, which is 1 − P(A')P(B')P(C') due to independence.

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