The probability that Kate goes to the cinema is 0.2. If Kate does not go Claire goes. If Kate goes to the cinema the probability that she is late home is 0.3. If Clair goes to the cinema the probability that she is late home is 0.6.

Question

Calculate the probability that

1. Kate goes to the cinema and is not late
2. The person who goes to the cinema arrives home late.

Answer 1

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

1. .2 * (1-.3) = ?

Either-or probabilities are found by adding the individual probabilities.

2. (.2 *3.) + (.8 *.3) = ?