Multiple choice

A person on a trip has a choice between private car and public transport. The probability of using a private car is 0.45. While using the public transport, further choices available are bus and metro, out of which the probability of commuting by a bus is 0.55. In such a situation, the probability (rounded up to two decimals) of using a car, bus and metro, respectively would be

  1. 0.45, 0.30 and 0.25

  2. 0.45, 0.25 and 0.30

  3. 0.45, 0.55 and 0.00

  4. 0.45, 0.35 and 0.20
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A Correct answer
Explanation

Probability of car = 0.45. Probability of public transport = 1 - 0.45 = 0.55. Within public transport, bus = 0.55 * 0.55 = 0.3025 (approx 0.30) and metro = 0.55 * (1 - 0.55) = 0.55 * 0.45 = 0.2475 (approx 0.25).

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