Question

A commuter uses a bus and train to get to work. The probability that the bus is late is 0.5 The probability that the train is late is 0.4 What is the probability that both the bus and the train are late? Give your answer as a decimal.

Answer 1

The probability that both the bus and train are late is calculated by multiplying the individual probabilities of each event occurring. The result is 0.2, or 20%.

Step-by-step explanation:

The student asked about the probability that both the bus and train are late for a commuter. We can use the multiplication rule for independent events to calculate this.

Since the probability that the bus is late is 0.5 (or 50%) and the probability that the train is late is 0.4 (or 40%), to find the probability that both are late, you multiply the probabilities of each event occurring independently:

P(Bus late and Train late) = P(Bus late) × P(Train late)

P(Bus late and Train late) = 0.5 × 0.4 = 0.2

So, the probability that both the bus and train are late is 0.2, or 20%.