2. Structure of probability

(a) The probability ofnot happening isand the probability of M happening is. Use the ideas of complement set and union set to find the probability that at least one oforhappens,. Show work.

(b) Today, the probability to receive a good weather forecast and to have sunny weather is. If the forecast is good, the chance that it shines isand if it's not good, the chance that it shines is only. Use the formula for joint probability to find the marginal probability that the forecast is good today,. Show work.

(0) Complete the joint probability table below. Show math. Note: this question is unrelated to (b)