a) Find the probability that a visitor will visit Central Park or Times Square.
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1 Name: Date: Unit 7 Review 1) A florist has 2 different vases that they use for floral arrangements. There are 3 different flowers that they can use in the vase, and 3 different colors of ribbon to tie around the vase. How many combinations of arrangements are there and list them all. 2) The probability that Jimmy Johnson wins the next Coca-Cola 500 is 0.23, and the probability that Danica Patrick wins the race is Find the probability that Jimmy Johnson or Danica Patrick wins the next Coca-Cola 500. Then find the probability that neither of them win the race. 3) The probability a Biology student earns a final grade of A is 0.1, the probability of earning a B is 0.18, and the probability of earning a C is Find the probability that the student passes with higher than a C. 4) Suppose we rolled a pair of fair six-sided dice and observed the product of the dice. Create a table of the possible outcomes. Then determine the probability that the product is an even number. Then find the probability that the product is a multiple of 5.
2 5) The probability that visitor to New York City will visit Central Park is 0.21, and the probability that a visitor will visit Times Square is The probability that the visitor will visit both is a) Find the probability that a visitor will visit Central Park or Times Square. b) Find the probability that a visitor to New York City will visit neither visit Central Park nor Times Square. 6) What is the probability that when you roll a fair 6-sided die, the face lands with a number that is greater than a 3? 7) The probability that a college freshman football player plays 1 st string is The probability that a college freshman football player plays 2 nd string is 0.5. The probability that a college freshman football player plays both 1 st and 2 nd string within a season is Find the probability that a college freshman football player plays either 1 st string or 2 nd string in a season.
3 8) Blue shirt Red Shirt Green Shirt Total Small Medium Large X-Large Total a) What is the probability of choosing a large shirt? b) What is the probability of choosing a shirt that is green and a medium? c) What is the probability of choosing a blue shirt given that it is an X-Large? d) What is the probability of choosing a red shirt or a small shirt? e) What is the probability of choosing a shirt that is Green or Blue? 9) If two cards are drawn from a well shuffled standard 52-card deck of playing cards, find the probability: a) that both cards are black cards. b) that the 1 st card is a face card and the 2 nd card is an Ace. c) that one card is a diamond and another is a club.
4 10) If a die is rolled three times, find the probability that: a) P(Even #, then 3, then 2) b) P(three 8s) c) P(3 different #s) d) P(no odd #s) 11) Suppose we rolled a pair of fair 7-sided dice and observed the sum of the dice. a) Create a table of the possible outcomes. b) Find the probability that their sum is greater than 12 c) Find the probability that their sum is odd. d) Find the probability that their sum is a multiple of 3. e) Find the probability that their sum is odd and a multiple of 3.
5 12) Your local high school s track team is having a small race to determine the fastest student on the squad. Looking at all of the data, the two students to beat are Alex and Corey. The probability of Corey winning the race is 0.33, and the probability of Alex winning the race is a) What is the probability that either Alex or Corey will win? b) What is the probability that neither Alex nor Corey will win? 13) Your mom brings you home a bag of marbles. There are 12 blue marbles, 14 purple marbles, only 5 green and 10 orange. a) What is the probability that you will choose a purple marble? b) If the purple marble is not replaced, what is the probability of choosing an orange marble? c) If all of the original marbles are replaced, what is the probability of choosing and keeping a blue marble, then choosing a green marble?
6 14) The table below is data collected representing the favorite ice-cream flavor in a group of students. Vanilla Chocolate Strawberry Pistachio Total Male Female Total a) If selecting a female at random, what is the probability that she will like chocolate ice cream? b) What is the probability of liking Pistachio ice cream given that you are a male? c) What is the probability of selecting a Male or a student that likes vanilla? d) What is the probability of a student who is female will also like strawberry? 15) The probability that a high school students chooses football to be their favorite sport to watch on television is. If 3 students are selected at random, find the probability that all of them select football as their favorite sport to watch.
7 16) Country-Western songs seem to emphasize three basic themes: love, prison, and trucks. A survey of the local country-western radio station produced the following data: 12 songs were about a truck driver who was in love while in prison: 13 were about a prisoner in love: 28 were about a person in love: 18 were about a truck driver in love. 3 were about a truck driver in prison who was not in love: 2 were about a prisoner who was not in love and did not drive a truck: 8 were about a person who was not in prison, not in love, and did not drive a truck: 16 were about truck drivers who were not in prison. (a) How many songs were surveyed? Find the number of songs about: (b) truck drivers: (c) prisoners: (d) truck drivers in prison: (e) people not in prison: (f) people not in love:
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