ASAP PLEASE!! Please answer with explanation and formula. I am so struggling.

1) A movie bin has 30 action movies, 20 comedy movies, 40 dramas, and 10 horror movies. Suppose 4 movies are randomly picked out of this movie bin. What is the probability there are 2 action movies and 2 other types of movies? Hint: other movies = "failures"

Round your answer to 4 digits after the decimal point.

Pr(2 action and 2 other movies) =

2) The probability a random email is spam is 0.35. Assuming emails coming into the server are independent events, what is the probability the first spam message is the fifth (5^th) email coming into the server? Give your answer to 4 digits after the decimal point.

Pr(X=5) =

3) The probability a random commercial is a political advertisement is 0.2. How many commercials do you expect to observe before you see the first political advertisement? In other words, let C be the number of commercials until you see the first political advertisement. What is E(C)?

4) Consider rolling a fair 8-sided die (so each digit one-eight has a 1/8 or 0.125 chance of occurring on a roll). Also, outcomes on different rolls of this die are independent.

A. What is the probability of rolling exactly two 8's among five rolls? Round your answer to 4 digits after the decimal point.

B. What is the average/mean number of 8's you expect to roll among 20 rolls of the die? Give the answer to 1 digit after the decimal point. Keep in mind, as an average, it does not need to be a whole number/integer.