GRADE 7 PROBABILITY & STATISTICS (1998)

Tom spun the spinner shown below 60 times. (Note that the spinner is a fair spinner.) His results are in the table below the spinner. Use this information to answer the following questions.

1. (a) What fraction of the spins resulted in a B?

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(b) What is the theoretical probability of spinning a B?

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(c) Out of 60 spins, how many spins would theoretically be a B?

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2. Joey Cora follows Jay Buhner in the Mariners' batting order. Jay Buhner hits the ball 1/3 of his times at bat, and Joey Cora connects with the ball 32.1% of the time. If they both come up to bat, what is the probability that they both get hits?

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3. Mary's final exam scores for 1992-1996 are indicated in the graph at right. Mary took exams in 1997 and 1998. Her mean score for the years 1992-1998 was 82. What was the sum of Mary's scores for 1997 and 1998?

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4.A company is creating new employee identification codes for its employees. Each employee's identification code will be made of 1 capital letter followed by 2 single-digit numbers (such as Q13). The letters O and I will not be used in these codes.
(a) How many different employee codes are available to this company?

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(b) How many employee codes would be available to the company if the two–digit number of the code could not contain the same two digits?

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5. A student reaches three times into a fruit basket containing 4 apples, 4 oranges, and 4 bananas to get 3 pieces of fruit.

(a) How many different collections (or combinations) of 3 pieces of fruit could the student get?

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(b) What is the probability that the student will get 3 of the same fruit? (Express your answer in fraction form.)

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