Probability Review Jeopardy!! Jeopardy!! 300 200 100 50 Misc. Compound Events Permutations / Combinations Counting Principle Simple Events.

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Presentation transcript:

Probability Review

Jeopardy!! Jeopardy!! Misc. Compound Events Permutations / Combinations Counting Principle Simple Events

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Simple Events for 50 Jan picks one month at random from a calendar. What is the number of possible outcomes? Answer: 12 outcomes

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Simple Events for 100 Al has a spinner with five equal sections labeled 3, 5, 7, 9, and 10. What is the number of possible outcomes of one spin? Answer: 5 outcomes

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Simple Events for 200 A spinner has 10 equal sections, numbered from 1 to 10. What is the probability of spinning a number greater than 6? Answer: 4/10 = 2/5

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Simple Events for 300 A card is drawn from a deck of 52 cards. What is the probability that a black King is chosen? Answer: 2 / 52= 1 / 26

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Counting Principle for 50 A restaurant has 3 choices of soup, 6 possible main courses, and 5 desserts. If Sandra orders soup, a main course, and dessert, how many possible selections can she make? Answer: 3 * 6 * 5 90 selections

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Counting Principle for 100 John is taking a true and false quiz. There are 6 questions. How many ways can the quiz be answered? Answer: 2 * 2 * 2 * 2 * 2 * 2 64 ways

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Counting Principle for 200 What is the number of possible three-digit area codes? Assume that zero cannot be used as the first digit. Answer: 9 * 10 * codes

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Counting Principle for 300 Answer: 4 * 2 * 2 = 16 ways When Sunil goes to the building where he works, he can go through Doors A, B, C, or D. Then he can go to the 7 th floor taking two different elevators or two different stairs. How many ways can Sunil so straight to the 7 th floor?

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Permutations / Combinations for 50 A tennis team has 6 members. How many possible teams of 2 can be formed? Answer:C(6,2) 15 teams

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Permutations / Combinations for 100 A basketball league has 4 teams. In how many different ways can the teams be arranged in the final standings? Answer: P(4,4) 24 ways

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Permutations / Combinations for 200 There is a list of 8 candidates for winning a prize. How many possible winner choices could there be if they give away 5 ipods? Answer:C(8,5)56

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Permutations / Combinations for 300 There are 8 boys and 5 girls at the candy shop. If the candy shop gives away 2 candy bars to the boys and 3 candy bars to the girls, how many possible outcomes are there? Answer: C(8,2) * C(5,3) 280

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Compound Events for 50 A coin is flipped 4 times. What is the probability of flipping 4 heads? Answer: P(H,H,H,H) = ½ * ½ * ½ * ½ 1/16 ways

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Compound Events for 100 Which of the following does not describe independent events? a)flipping a coin 2 times b)rolling a number cube 2 times c)spinning a spinner 2 times d)drawing 2 balls from a box without replacing the first ball Answer:D

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Compound Events for 200 A jar contains 3 red balls and 3 black balls. If Helen takes 2 balls from the jar without replacing the first ball, what is the probability of drawing 2 black balls? Answer: 3/6 * 2/5 1/5

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Compound Events for 300 Juan flips a coin and rolls a number cube. What is the probability that the coin lands on heads and the number cube shows a 1? Answer: 1/2 * 1/6 1/12

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Miscellaneous for 50 A coin is flipped 4 times. Which of the following is the most likely outcome? a)4 heads ; 0 tails b)3 heads ; 1 tail c)2 heads ; 2 tails d)1 head ; 3 tails Answer: C

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Miscellaneous for 100 Hector randomly picks an integer between 0 and 9. Which of the following is the most likely outcome? a)The number is 5. b)The number is 9. c)The number is odd. d)The number is not 1. Answer: D

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Miscellaneous for 200 On one roll of a number cube marked 1-6, which of these has the highest probability? a)A number greater than 4 b)A 4 c)A number less than 4 d)A 1 or a 2 Answer:C

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Miscellaneous for 300 What college does Mr. Landers go to? Answer: Answer: Judson College

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Final Jeopardy Take 3 minutes to solve the following problem, writing your answer and how many points you are risking on your white board.

Two baseball teams play 2 games. Since team A is the better team, its chance of winning is 2/3. Team A isn't good at having multiple wins in a row and has half the chance of winning games back to back. What is the probability that team A will win both games?

HURRY UP!!!

TIME'S UP!!!

Answer: TEAM A 1 st game: 2/3 TEAM A 2 nd game: 2/3 * 1/2 = 1/3 Probability of A winning 2 games? 2/3 * 1/3 2 / 9