Algebra 2TrigName

Probability Review (1)Block Date

Evaluate the following:

1. C(7,4)2. P(13,5)3. 8C3 · 5!4.

Show your set up for each of the following questions:

5. A restaurant menu offers 7 appetizers, 9 main courses and 5 desserts. How many ways can you order a meal consisting of two appetizers, one main course and one dessert?

6. A picture frame holds 5 pictures. How many ways can you arrange the 5 pictures?

7. You have room enough for 6 posters on your wall. If you have 11 posters to choose from, how many arrangements are possible?

8. In a local lottery, you must pick 6 numbers out of 45. How many combinations are there for the lottery? (A winning ticket only has to match the numbers, they do not need to be drawn in the same order)

9. 17 boys try out for the baseball team. How many 15-man teams can be made from the 17 who try out?

10. How many 9 man-batting lineups can be made from 15 players who make the team?

11. On the prom committee there must be 2 sophomores, 2 juniors and 3 seniors. How many different ways can you form the committee if 7 sophomores, 8 juniors and 11 seniors offer to help?

12. How many ways can the letters in the word SUCCESS be arranged?

13. How many ways can the letters in the word NAME be arranged if it must end with M?

Cards are drawn at random from a standard deck of 52 playing cards.

14. 5 cards are drawn at one time: P(5 face cards)

15. 2 cards are taken one at a time and not replaced: P(red then spade)

16. 2 cards are taken one at a time and not replaced: P(red and a spade)

17. 2 cards are taken one at a time and replaced: P(red then spade)

18. 2 cards are taken one at a time and replaced: P(red and a spade)

19. 2 cards are drawn one at a time and not replaced: P(2 spades or 2 jacks)

20. 5 cards are drawn at one time: P(3 of one color and 2 of the other)

A jar contains 6 red, 8 white and 5 blue marbles.

21. Pick 3 at one time: P(all blue)

22. Pick 4 at one time: P(2 red, 1 white and 1 blue)

23. Pick 5 one at a time: P(2 blue then 3 red) with no replacement.

24. Pick 3 one at a time: P(2 white then 1 blue) with replacement.

25. Pick 4 one at a time: P(2 blue, 1 red and 1 white) with no replacement.

26. Pick 5 one at a time: P(2 blue and 3 red) with no replacement.

27. Pick 4 at one time: P(exactly 3 blue or exactly 2 red).

28. Pick 4 at one time: P(at least 3 white)

Algebra 2TrigName

Probability Review (1)Block Date

Evaluate the following:

1. C(7,4)2. P(13,5)3. 8C3 · 5!4.

Show your set up for each of the following questions:

5. A restaurant menu offers 7 appetizers, 9 main courses and 5 desserts. How many ways can you order a meal consisting of two appetizers, one main course and one dessert?

6. A picture frame holds 5 pictures. How many ways can you arrange the 5 pictures?

7. You have room enough for 6 posters on your wall. If you have 11 posters to choose from, how many arrangements are possible?

8. In a local lottery, you must pick 6 numbers out of 45. How many combinations are there for the lottery? (A winning ticket only has to match the numbers, they do not need to be drawn in the same order)

9. 17 boys try out for the baseball team. How many 15-man teams can be made from the 17 who try out?

10. How many 9 man-batting lineups can be made from 15 players who make the team?

11. On the prom committee there must be 2 sophomores, 2 juniors and 3 seniors. How many different ways can you form the committee if 7 sophomores, 8 juniors and 11 seniors offer to help?

12. How many ways can the letters in the word SUCCESS be arranged?

13. How many ways can the letters in the word NAME be arranged if it must end with M?

Cards are drawn at random from a standard deck of 52 playing cards.

14. 5 cards are drawn at one time: P(5 face cards)

15. 2 cards are taken one at a time and not replaced: P(red then spade)

16. 2 cards are taken one at a time and not replaced: P(red and a spade)

17. 2 cards are taken one at a time and replaced: P(red then spade)

18. 2 cards are taken one at a time and replaced: P(red and a spade)

19. 2 cards are drawn one at a time and not replaced: P(2 spades or 2 jacks)

20. 5 cards are drawn at one time: P(3 of one color and 2 of the other)

A jar contains 6 red, 8 white and 5 blue marbles.

21. Pick 3 at one time: P(all blue)

22. Pick 4 at one time: P(2 red, 1 white and 1 blue)

23. Pick 5 one at a time: P(2 blue then 3 red) with no replacement.

24. Pick 3 one at a time: P(2 white then 1 blue) with replacement.

25. Pick 4 one at a time: P(2 blue, 1 red and 1 white) with no replacement.

26. Pick 5 one at a time: P(2 blue and 3 red) with no replacement.

27. Pick 4 at one time: P(exactly 3 blue or exactly 2 red).

28. Pick 4 at one time: P(at least 3 white)