imo class 12 probability

A bus from Delhi to Agra has a probability 0.8 of departing on time and 0.9 of arriving on time, independently. The probability it departs late but arrives on time is:

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A bus from Delhi to Agra has a probability 0.8 of departing on time and 0.9 of arriving on time, independently. The probability it departs late but arrives on time is:

  • A. 0.18
  • B. 0.72
  • C. 0.1
  • D. 0.08

Answer: A) 0.18

Explanation: P(Departs late) = 1 − 0.8 = 0.2. Since independent, P(Late depart ∩ On time arrive) = 0.2 × 0.9 = 0.18.

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