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Name____________________ PROBABILITY REVIEW 1) Sophia rolled 2 number cubes and found the sum. She played the game many times and recorded the sums in the line plot below. Find the experimental probability in simplest form. a) P(3) =_____ b) P(12) =______ c) P(not 8) =_______ 2 &3: You have 3 red marbles, 4 yellow marbles, and 1 blue marble in a bag. Find the probabilities below. 2) P (red, then yellow), without replacement 3) P (red, then red), without replacement 4) A number cube has 6 sides. The sides are numbered 1 to 6. If the cube is rolled once, what is the probability of not rolling a 5? 5) A bag contains 3 yellow marbles, 8 green marbles, 2 purple marbles, 10 blue marbles, and 5 red marbles. What is the probability of pulling out a yellow or a blue marble? P(Y or B) 6) What is it called when you find the probability that an event will NOT happen? 7) A bag contains only blue and green blocks. If the probability of drawing a blue block is 7/12, what is the probability of drawing a green block? 8) A new line of mountain bikes comes in three models: the Jetstar, the Road Hawk, and the Eagle. Each bike comes in two colors – black or red. Make a tree diagram and a list to show all of the possible combinations of bikes. a) TREE: c) Total possible combinations: d) P (red Jetstar) = e) P (black) = b) LIST: 9) Avery has 5 swimsuits, 2 cover-ups, and 3 pairs of sandals for her spring break trip. How many different outfits can she make? 10) A number cube (a dice) with faces numbered 1 to 6 is rolled 30 times. Predict the number of times a 4 will be rolled. 11) Ryan has a spinner that is divided into eight sections: 2 red, 3 blue, 1 yellow and 2 white. Predict the number of times the spinner will land on blue if he spins it 160 times. 12) Nate has a bag containing 3 red, 2 blue, 4 yellow, and 3 green marbles. If he randomly chooses a marble and does not replace it before choosing a second marble, find the probabilities below. a) P (blue, blue) without replacement____________ b) P (yellow, green) ___________ 13) A spinner and cube are used in a game. The spinner has an equal chance of landing on 1 of 4 colors: red, purple, blue, or green. The faces of the cube are labeled 1 through 6. What is the probability of a player spinning the color red and then rolling a six? 14) Last basketball season Austin made 6 out of 10 shots at the free throw line. Based on this, what is the probability that Austin will miss his first free throw shot this season? 15) A spinner has an equal chance of landing on 1 of 4 colors: red, purple, blue, or green. What is the probability that Ann will spin and land on a black? 16) There are 4 girls and 3 boys in Mrs. Clayton's art class. Mrs. Clayton wrote the names of each student on identical pieces of paper and placed them in a bag. If two names are drawn from the bag at random without replacement, what is the probability of drawing a girl's name then a boy's name? 17) The pictures below show the choices for a lunch special at a restaurant. How many combinations of 1 sandwich, 1 side order, and 1 drink are possible for the lunch special at this restaurant? 18) The probability of Mr. Bohac giving a lunch detention is 1/10. If there are 200 students in lunch, predict how many should get detentions. 19) Bob’s Lunch Café offers 3 kinds of sandwich fillings and 3 kinds of bread. Which table shows all the possible sandwich combinations at Bob’s Lunch Café. 20. Fazio is selecting a jersey. His choices are shown below. Fazio chooses a jersey at random and then replaces it. He then selects a second jersey at random. What is the probability that Fazio selects a striped jersey both times? F 1 100 G 1 16 H 1 25 J 1 81 21) The arrow on each spinner shown below will be spun one time. Which of the following diagrams shows all the possible outcomes when each arrow is spun once?