The probability that Jack plays guitar on a raining day is 0.6 and on a sunny day is 0.5. The probability that is rains tomorrow is 0.8. Find the probability that Jack will not play guitar tomorrow?

Is it 32%?

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

.8 * (1-.6) = .32