Probability

1. Probability Review Game

2. Combinations Permutations Probability Potpourri Review $1 $1 $1 $1 $1 $2 $2 $2 $2 $2 $5 $5 $5 $5 $5 $10 $10 $10 $10 $10 $20 $20 $20 $20 $20

3. Your english teacher has asked you to select five novels from a list of 8 to read as an independent project. How many combinations of 5 books could you choose from?

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5. In how many ways can two people be chosen from a class of 25?

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7. If you have 8 choices for freshman classes at college, and you want to take 4 your first semester, how many options do you have?

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9. A pizza company offers three cheeses and 7 toppings. How many combinations of pizzas with one cheese and 2 toppings are there?

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11. How many five-card hands can be made with a Euchre deck of 24 cards?

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13. There are 6 songs on a CD. In how many orders could the songs be played if each is played only once?

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15. How many different ways can the letters in the word “SOCCER” be arranged?

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17. There are five runners in a race. First place is awarded $100, second place $50, and third place $10. Assuming there are no ties, in how many different ways can the prizes be awarded?

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19. A photographer is taking a family picture of a family with two parents and four children. How many ways can the six people stand in a line if the parents are in the middle?

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21. In how many ways can six objects be arranged in a circle?

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23. A bag contains 4 orange marbles, 5 yellow marbles, and 6 purple marbles. What is the probability of drawing a yellow marble?

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25. A bag contains 4 orange marbles, 5 yellow marbles, and 6 purple marbles. What is the probability of drawing an orange marble and then a purple marble?

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27. A bag contains 4 orange marbles, 5 yellow marbles, and 6 purple marbles. What is the probability of drawing a purple marble and then two non-purple marbles?

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29. Box A contains 5 quarters and 2 dimes.Box B contains 3 quarters and 4 dimes.A coin is drawn from box A and put in box B. If the coin drawn from box A is a quarter, what is the probability that a quarter is then drawn from box B?

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31. A number is cube is rolled. What is the probability that a 6 is rolled given that the roll is even?

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33. Ben and Genesis are two of 21 students in a class. Two students will be chosen from the class at random to attend a field trip. What is the probability that Ben and Genesis will both be chosen?

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35. What is the standard deviation of the following:{12, 5, 13, 19, 9, 7}

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37. How many different ways can the letters in the word “BASEBALL” be arranged?

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39. Find the standard deviation of {85, 73, 91, 67, 87, 79}

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41. If you’re taking a multiple choice test with 5 questions, each with 4 options, how many possible ways are there to answer the questions?

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43. Write the first five rows of Pascal’s Triangle.

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45. If the first four terms of an arithmetic series are 1, 4, 7, 10What is the nth term of the series?

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47. What is the first term of an arithmetic sequence with a2=8 and a6=32?

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49. What are the first three terms of (x-2y)5?

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