1) An urn has 9 balls that are identical except that 5 are white and 4 are red. A sample of 6 is selected randomly without replacement.

What is the probability that exactly 4 are white and 2 are red?

What is the probability that at least 4 of the balls are white?

2) A 2-card hand is drawn from a standard deck of 52 cards. Find the probability that the hand contains the given cards.

two of the same suit

3) A 5-card hand is drawn from a standard deck of 52 playing cards. Find the probability that the hand contains the given cards.

no clubs

4) Find the probability of obtaining the given 5-card poker hand.

straight flush: five cards in a sequence in the same suit but not a royal flush

5) Find the probability of obtaining the given 5-card poker hand.

full house: three of a kind together with a pair

6)Among a group of 8 stocks, suppose that 4 will perform above average and the other 4 will perform below average. If you pick 4 stocks from this group, what is the probability that all 4 will be above average in performance?

7) A mutual fund has 18 stocks in its portfolio. On a given day 2 stocks move up, 10 stay the same and 6 move down. In how many ways could this happen?

8)Find the number of arrangements of each of the following words that can be distinguished.

a) a1a2b1b2b3b4

b) aab1b2b3b4

c) aabbbb

9) Find the probability of exactly k successes in n repeated Bernoulli trials where the probability of success is p. (Round your answer to six decimal places.)

n = 8, k = 7, p = 0.6

10) Flip a fair coin 7 times. Find the probability of getting the following outcome. (Round your answer to six decimal places.)

at least 4 heads

11) Flip a fair coin 13 times. Find the probability of getting the following outcome. (Round your answer to three decimal places.)

at most 2 heads

12) An event E has a probability p = p(E) = 0.8 in some sample space. Suppose the experiment that yields this sample space is repeated five times and the outcomes are independent. Find the probability of getting the following outcome. (Round your answer to six decimal places.)

E exactly three times

13) Ed Delahanty has a lifetime batting average of 0.346. Assume that Ed Delahanty came to bat officially four times every game played. What would be Ed Delahanty's probability getting at least three hits in a game? (Round your answer to six decimal places.)

14) An oil company estimates that only 1 oil well in 23 will yield commercial quantities of oil. Assume that successful drilled wells represent independent events. If 5 wells are drilled, find the probability of obtaining a commercially successful well for the following number of times. (Round your answer to six decimal places.) (none)

15) An oil company estimates that only 1 well in 23 will yield commercial quantities of oil. Assume that successful drilled wells represent independent events. If 8 wells are drilled, find the probability of obtaining a commercially successful well for the following number of times. (Round your answer to six decimal places.) (exactly 3)

16) A company finds that one out of four workers it hires turns out to be unsatisfactory. Assume that the satisfactory performance of any hired worker is independent of that of any other hired workers. If the company hires 13 people, what is the probability that the following number of people will turn out to be satisfactory? (Round your answer to six decimal places.) (at most 5)

I am attempting to understand this subject, though my instructor is hard to track down and is not the greatest about explaining things. I am honestly trying.

Thank you so Much.