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P-9 Probability

P-9 Probability. Combinations. WHAT YOU WILL LEARN. • How to solve combinations. Combination. A combination is a distinct group (or set) of objects without regard to their arrangement. The number of combinations possible when r objects are selected from n objects is found by. Example.

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P-9 Probability

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  1. P-9 Probability Combinations

  2. WHAT YOU WILL LEARN • How to solve combinations

  3. Combination • A combination is a distinct group (or set) of objects without regard to their arrangement. • The number of combinations possible when r objects are selected from n objects is found by

  4. Example • A student must select 4 of 7 essay questions to be answered on a test. In how many ways can this selection be made? • There are 35 different ways that 4 of 7 questions can be selected.

  5. Example • Toastline Bakery is testing 5 new wheat breads, 4 bran breads and 3 oat breads. If it plans to market 2 of the wheat breads, 2 of the bran breads and one of the oat breads, how many different combinations are possible?

  6. Example • A club consists of 5 men and 6 women. Four members are to be selected at random to form a committee. What is the probability that the committee will consist of two women? 3 3

  7. Example • The Honey Bear is testing 10 new flavors of ice cream. They are testing 5 vanilla based, 3 chocolate based and 2 strawberry based ice creams. If we assume that each of the 10 flavors has the same chance of being selected and that 4 new flavors will be produced, find the probability that a) no chocolate flavors are selected. b) at least 1 chocolate is selected. c) 2 vanilla and 2 chocolate are selected.

  8. Solution • 5 vanilla, 3 chocolate, 2 strawberry selecting 4 flavors a) b)

  9. Solution (continued) • 5 vanilla, 3 chocolate, 2 strawberry; selecting 4 flavors c.

  10. A box contains a total of 120 folders, of which 30 are red. If you select 2 at random, determine the probability thatboth folders are red. a. c. b. d.

  11. A box contains a total of 120 folders, of which 30 are red. If you select 2 at random, determine the probability thatboth folders are red. a. c. b. d.

  12. A box contains a total of 120 folders, of which 30 are red. If you select 2 at random, determine the probability thatat least one folder is not red. a. c. b. d.

  13. A box contains a total of 120 folders, of which 30 are red. If you select 2 at random, determine the probability thatat least one folder is not red. a. c. b. d.

  14. Ten green T-shirts and 6 orange T-shirts are placed in a box. Seven T-shirts are to be selected at random without replacement. Determine the probability that three green T- shirts and four orange T-shirts are selected. a. 0.157 b. 0.107 c. 0.026 d. 0.003

  15. Ten green T-shirts and 6 orange T-shirts are placed in a box. Seven T-shirts are to be selected at random without replacement. Determine the probability that three green T- shirts and four orange T-shirts are selected. a. 0.157 b. 0.107 c. 0.026 d. 0.003

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