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?
(Express your answer in fraction form.)
(b) What is the theoretical probability of spinning a B?
(Express your answer in fraction or decimal form.)
(c) Out of 60 spins, how many spins would theoretically be a B?
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?
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?
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?
(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?
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?
(b) What is the probability that the student will get 3 of the same fruit? (Express your answer in fraction form.)