Suppose that a bag has 100 balls and given below is the distribution of colors of the balls in the bag.

Brown - 30 Orange - 10 Yellow - 20 Green - 10 Red - 20 Blue - 10

1. If you are to randomly get 20 balls from the bag without replacement, find the probability that you get exactly 10 yellow balls.

2. If you are to randomly get 40 balls from the bag without replacement, what is the average number of green balls that you will get?

The probability that Lee will win an audition is equal to 0.1. He has 10 upcoming auditions this week. If the auditions are independent from one another,

1. What is the probability that he will win exactly four auditions this week?

2. What is the expected number of auditions he will win this week?

3. What is the variance of the number of auditions he will win this week?

- If A is the event of getting at least one correct answer from a 5-item quiz, then A^c is the event of getting ______ from the 5-item quiz.