# There are 5 boys and 5 girls on a co-ed basketball team. A team plays 5 players on the court at one time. How many possible ways are there to field a team of 3 boys and 2 girls? Position doesn’t matter. 252 30,240 100 1,200 4. Find the following: P(5, 2)

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3. There are 5 boys and 5 girls on a co-ed basketball team. A team plays 5 players on the court at one time. How many possible ways are there to field a team of 3 boys and 2 girls? Position doesn’t matter.

252

30,240

100

1,200

4. Find the following: P(5, 2)

5

10

20

2

5. A pair of dice is tossed and the sum of the two dice is calculated. Find the probability the sum is 7.

7/12

1/6

29/36

7/36

6. Find the following: C(5, 2).

60

5

10

20

7. Aunt Janet has 3 distinctly different flower pots and 9 different types of flowers with which to make a display on her windowsill. She decides that each flower pot will have only one type of flower in it, and that she won’t use the same type of flower more than once. How many different arrangements of flower pots and flowers can Aunt Janet make on her windowsill?

504

3,024

4,374

162

8. In a game, you have a 1/36 probability of winning $94 and a 35/36 probability of losing $8. What is your expected value?

–$7.78

–$5.17

$10.39

$2.61

9. Find the following: P(8, 2)

28

2

56

8

10. Suppose 5 men and 7 women are on a crowded elevator. At the next floor, four people get off the elevator. Find the probability that all are women.

0.333

0.571

0.929

0.071

13. How many ways can one rearrange the letters in the word CIRCUMFERENCE to form a string of 13 letter strings or words, sensible or not?

286

1,716

86,486,400

13!

14. Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5.00 for rolling a 1 or a 6, nothing otherwise. What is your expected value?

$5.00

–$1.33

–$3.00

$3.00

15. How many ways are there to answer a 20-question exam where 15 questions are true-false and 5 questions are multiple choice with 4 choices each?

600

2.4 × 1018

33,554,432

50

16. There are nine men and ten women in a club; in how many ways can a committee of four be formed?

17.

Find the mean of the given probability distribution.

µ = 1.55

µ = 1.23

µ = 1.65

µ = 1.13

19. A jar contains jelly beans, and there are 87 pink, 74 purple, 35 white, 70 black, 25 orange, and 47 green. If two jelly beans are chosen from the jar, what is the probability that one is pink and one is purple?

0.113

0.006

0.226

0.190

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