Probability of Compound Events — Unit test Answers

A jar contains only one blue tile, one green tile, one red tile, and one yellow tile. If a tile is chosen at random and then replaced in the jar, and then a second tile is chosen at random, how many of the possible outcomes contain at least one red tile?

Viktoria knows that it is impossible to remove a red marble from her bag that has no red marbles in it. If she reaches into the bag and pulls out a marble without looking, what is the probability that the marble will be red?

Byron bought a keyless entry door lock that has the digits 0 through 9 on the keypad. He wants to choose a three-digit entry code. How many different combinations are possible, if the digits can be repeated?

A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two even numbers?

Jasmine created this spinner to predict whether a randomly selected student in her school will be traveling during the upcoming holiday break.Is the Student Traveling?Jasmine’s spinner is designed to reflect data she gathered by surveying 36 students in her gym class. How many of the students Jasmine surveyed indicated they would be traveling during the holiday break?

Mark noticed that his bus is late to school 5% of the time. He wants to design a spinner he can use to simulate the situation and determine the probability that the bus will be late three times next week.How should Mark divide his spinner to best simulate the situation?

Over the past year, Becky has enjoyed 7 of the 9 movies recommended by her local newspaper. She wants to design a spinner she can use to simulate this situation and predict the probability that she will enjoy each of the next 5 movies the paper recommends.How should Becky divide her spinner to best simulate this situation?

Kiesha’s quality-control manager told her she must have 97% of her clocks functioning properly. She found a report that said 6 out of 300 clocks tested were not working properly. Kiesha predicts that she will have enough working clocks to please the manager. Which statements are true about Kiesha’s prediction? Select three options.

Which describes dependent events?

Which value cannot represent the probability of an event occurring?

Daniel’s spinner is divided into 8 equal sections. He plans to spin it 80 times. Which equation predicts the number of times that he could spin green?

Keisha has a bag that contains one red marble (r), one yellow marble (y), one green marble (g), and one orange marble (o). She makes the table below to show the different ways that she can choose two marbles—by first choosing one marble, replacing it, and then choosing another marble.What outcome is missing from Keisha’s table?

A number cube was rolled as part of an experiment. The results are in the table below. The fraction is the experimental probability of rolling a 3. What is x?Experiment ResultsNumber123456Frequency465735

Maggie’s bank has assigned her a temporary 3-digit PIN to use with her ATM card. Each digit is a number from 1 to 5, inclusive, and no digit can be used more than once in the PIN. Which multiplication problem can be used to determine the probability that the PIN she was assigned was 123?

Use the information in the table to answer the question. Eitan and Asher are playing a game using two six-sided number cubes. To win the game, Eitan has to roll a sum of 11 or more. Which outcome would allow Asher to have a higher probability of winning the game? Select three options.