**PLEASE SHOW WORK!!!!**

For this module’s assignment review the following.

In the following problem give your answer using the notation nPr or nCr. You don’t have to give an actual numerical answer. There are 10 athletes entered in a race. If a gold,silver, or bronze medal is given to three of the athletes, in how manyways can one pick the winners of the gold, silver, and bronze medals?There are 10 athletes entered in a race. If three identicalgold medals are given to the group of athletes, in how many ways canone pick the winners of the gold medals? A card is drawn out of a standard deck of 52 cards. Each card canbe described by giving its “rank” (A, 2, 3, 4,…10, J, Q, K) and its”suit” (H for hearts, C for clubs, D for diamonds, and S for spades).For example, 2S denotes the two of spades and KH denotes the king ofhearts. Write out the event described by each of the following statements as a set.E1: “draw a king.”E2: “draw a heart.”E3: “draw a face card.” (A “face” card is a jack, queen, or king.)E4: “draw a joker.” A card is drawn at random out of a well-shuffled deck of 52 cards. Find the probability of each of the following events. (Do problem #2 first.)E1: “draw a king.”E2: “draw a heart.”E3: “draw a face card.” (A “face” card is a jack, queen, or king.)E4: “draw a joker.”

Suppose that you deposit $3,250.00 in a savings account that pays0.4% annual interest, with interest credited to the account at the endof each year. Assuming no withdrawals are made, find the balance in theaccount after 6 years. Round your answer to the nearest penny. Suppose $3,250.00 is invested in a savings account with an APR of0.4% compounded monthly. Assuming no withdrawals are made, find thebalance in the account after 6 years. Round your answer to the nearestpenny.

Submit your answers to the questions above by downloading and completing the

Probability I Problem Set Worksheet

.

1. In the following problem give your answer using the notation nPr or nCr. You don’t have

to give an actual numerical answer.

a. How many ways can one pick the winners of the gold, silver, and bronze medals?

b. How many ways can one pick the winners of the gold medals?

2. Write out the event described by each of the following statements as a set.

a.

b.

c.

d.

E1:

E2:

E3:

E4:

“draw a king.”

“draw a heart.”

“draw a face card.” (A “face” card is a jack, queen, or king.)

“draw a joker.”

3. Find the probability of each of the following events. (Do problem #2 first.)

a.

b.

c.

d.

E1: “draw a king.”

E2: “draw a heart.”

E3: “draw a face card.” (A “face” card is a jack, queen, or king.)

E4: “draw a joker.”

4. What percentage of the students passed the test?

5. What is the percentage increase in their wage?

6. Assuming no withdrawals are made, find the balance in the account after 6 years. Round

your answer to the nearest penny.

7. Assuming no withdrawals are made, find the balance in the account after 6 years. Round

your answer to the nearest penny.

8. Assuming no withdrawals are made, find the balance in the account after 6 years. Round

your answer to the nearest penny.