Unit 7 - Probability Review

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1 Name: Date:. The table below shows the number of colored marbles Maury has in his collection. Color Marble Collection Number of Marbles Purple 5 Blue 4 Red 9 Green 2 If Maury picks a marble without looking, what is the probability he will pick a blue marble? 4. Twenty-six squares of paper lettered A to Z are placed in a can. One letter is randomly chosen from the can and turns out to be the letter G. If a second letter is drawn without putting the letter G back into the can, what is the probability that it will be the letter F? 5. Devin is playing a game which uses a spinner and a coin. 2. In a pantry there are cans of green beans, 5 cans of corn, 2 cans of peas, and 2 cans of peaches. None of the cans have labels on them. If one of the cans is opened, what is the probability it will not be peaches? Each move is determined by the result of spinning the spinner and flipping the coin. What is the probability that Devin spins a Green and flips a Tails?. What is the probability of getting a 5 on this spinner? 6. On a certain day the chance of rain is 80% in San Francisco and 0% in Sydney. Assume that the chance of rain in the two cities is independent. What is the probability that it will not rain in either city? page

2 7. One bag contains 2 green marbles and 4 white marbles, and a second bag contains green marbles and white marble. If Trent randomly draws one marble from each bag, what is the probability that they are both green?. Ms. Smith has 0 students in her class: 20 are boys and 0 are girls. Mr. Jones also has 0 students in his class: 5 are boys and 5 are girls. One student is selected from each class to be on the student council. What is the probability that 2 boys are selected? 8. A bag contains five different-colored straws. The colors of the straws are red, blue, green, yellow, and purple. John randomly chose one straw from the bag. Then, without replacing it, he randomly chose another straw. What is the probability that John chose the red straw and then the purple straw? 2. A bag contains 4 yellow tiles and 2 green tiles. A tile will be taken from the bag at random and set aside. A second tile will then be taken from the bag at random. What is the probability that both tiles will be green?. Students in Ms. Hunting s class sorted a set of numbers using the Venn diagram below. 9. Danielle and Kyle are in a class of 0 students. They each must give an oral report on their favorite character in history. The order of the students reporting is determined at random. What is the probability that Danielle will report first and Kyle will report second? How many numbers from the set of numbers are multiples of both and 4? a. Find P(multiple of ) 0. The probability of rain is 40% on Friday, 60% on Saturday, and 0% on Sunday. What is the probability that it will not rain during this three-day time period? b. Find P(multiple of multiple of 4) c. Find P(multiple of 4 multiple of ) d. Find P(multiple of multiple of 4) e. Find P(multiple of multiple of 4) page 2

3 4. A bike store surveyed customers about their favorite type of bike to ride. Customers could choose either mountain bikes or cruiser bikes. The store reported whether their customers liked mountain bikes, cruiser bikes or both. 28 people liked cruisers 26 people liked mountain bikes 9 people liked both mountain bikes and cruiser bikes 0 people liked neither type of bike Complete the Venn diagram to help you solve the problem. 5. A local car dealership has 00 vehicles on its lot. The chart below shows the numbers of cars, vans, and trucks, both new and used. Vehicles at Dealership Number of Cars Number of Vans Number of Trucks New Used a. What is the probability of randomly selecting a new vehicle? b. Find P(new truck) c. Find P(car used) How many people were surveyed? How many customers liked only cruiser bikes? How many customers liked only mountain bikes? 6. In a telephone survey of 00 households, 2 households purchased Brand A cereal and 45 purchased Brand B cereal. If 0 households purchased both items, how many of the households surveyed did not purchase either Brand A or Brand B cereal? DRAW A VENN DIAGRAM. Does these results represent mutually exclusive events? Explain. 7. Given:, 2,, 4, 5, 6, 7, 8, 9, 0 Set A = {2, 4, 5, 7, 8} Set B = {, 5, 8, 9} a. Draw a Venn Diagram. b. What is A B? c. What is A B? page

4 8. A school district offers hockey and basketball. The result of a survey of 00 students showed: 20 students play hockey, only 90 students play basketball, only 0 students do not participate in either sport 20. If one card is selected at random from a standard deck of 52 cards, what is the probability of choosing a black card or a king? Of those surveyed, how many students play both hockey and basketball? 9. If the probability of snow tomorrow is 2 5, what is the probability of no snow tomorrow? 2. From a standard deck of 52 cards, one card is drawn. What is the probability that it will be either a club or a diamond? page 4

5 Problem-Attic format version c EducAide Software Licensed for use by Jennifer LaFontaine Terms of Use at 04/29/ % % % % {2,, 4, 5, 7, 8, 9} 8. 60

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