Question

Thomas planted tomatoes, peppers, and green beans. The probability that the tomato plant will produce tomatoes is .8, the probability that the pepper plant will produce peppers is .4 and the probability that the green bean plant will produce green beans is .7. Assuming that these events are all independent of one another, what is the probability that Thomas will get tomatoes and peppers , but NOT green beans?

So I must set it up as P (T∩P∩Gcomplement)? Is just p(T) * p(P) ignoring p(G) or is it something else? I forgot how to handle complements.

Answer 1

Or 1- p(t)*p(p)?

Answer 2

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

.8 * .4 * (1-.7) = ?