I would appreciate if someone could help me with a question that I need the answer to before Sunday (10th may?)

I have tried for so long to answer this questions but I truly do not know how. I don’t even know/understand what parts to calculate and how to do it. I’m really struggling here.

1) weather forecasts are generally right, but not always. For a particular winter, the local forecast predicts rain for 35% of day’s and rain occurs on 38% of days. For 25% of winter days, rain was forecast and rain does fall.

a) for what percentage of days does it rain without rain being forecast?

b) what is the probability that there was no rain forecast nor did it rain?

c) on what percentage of days were there either rain or rain forecast?

d) if it is raining, what is the probability that rain was forecast?

e) are rain and forecast for rain mutually exclusive events) explain

f) are rain and forecast for rain independent events? Explain.