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1. A teacher has 12 boys and 17 girls in her class, In how many ways can she sel

ID: 2843364 • Letter: 1

Question

1. A teacher has 12 boys and 17 girls in her class, In how many ways can she select 6 children if she must select 3 boys and 3 girls?

2. A pitcher has three pitches, as fast ball, a curve ball, and a knuckle ball. He wants to throw 6 fastballs, 4 curve balls, 3 knuckle balls. How many different ways can this be done?

3. A package contains 16 candy canes, 5 of which are cracked. If 9 are selected, what is the probability of getting no cracked candy canes?

4. A package of 9 candy canes have 2 cracked candy canes inside. If 2 are selected, what is the probability of getting those two cracked candy canes.

5. A person must select 3 numbers from 11 to win the lottery. What is the probability of winning the first time played?

Explanation / Answer

gurudev made 2 errors. On 1, I believe the number was just transcribed incorrectly. The combinatorial result is correct. It should be .315, or 7480/23751


On the final problem, I believe 3 of 11 are to be selected correctly. The probability of this is 1/C(11,3) = 1/165