Need some help for my tutorial session's questions. Didn't understand well in the class! And these questions may be tested in final exam, so plz help me!

7. In a very simple weather model we suppose that the chance of rain each day is 0.3, and is independent of the weather the previous day. In a month of 30 days, what is the probability of exactly 5 rainy days?

9. In all of the following questions 7 coupons are being distributed into 4 showbags. In each case determine the number of ways it can be done, showing working.

(a) Suppose that the coupons and show bags are identical and no bag is empty.

(b) suppose that the coupons and show bags are identical but bags are allowed to be empty.