Lesson 3: Independent and Mutually Exclusive Events Answers

The weather report states that the probability it will rain on Wednesday is 30 percent and the probability that it will rain on Saturday is 60 percent.What is the probability that it will rain on Wednesday and on Saturday?

Nine wolves, eight female and one male, are to be released into the wild three at a time.If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed?

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.

The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5 percent chance that a customer buy apples and carrots, and a 17 percent chance that a customer buys apples or carrots.What is the probability of a customer buying carrots?

A number cube has faces numbered 1 to 6.What is true about rolling the number cube one time? Select three options.S = {1, 2, 3, 4, 5, 6}If A is a subset of S, A could be {0, 1, 2}.If A is a subset of S, A could be {5, 6}.If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}.If a subset A represents the complement of rolling an even number, then A = {1, 3}.

Circle B is inside of circle A.

Consider the following sets.U = {all triangles}E = {x|x ∈ U and x is equilateral}I = {x|x ∈ U and x is isosceles}S = {x|x ∈ U and x is scalene}A = {x|x ∈ U and x is acute}O = {x|x ∈ U and x is obtuse}R = {x|x ∈ U and x is right}Which is a subset of I?

Miriam is visiting five friends in her neighborhood, Louise, Mike, Nicole, Oscar, and Pascal. In each arrangement below, the first initial of each person’s name represents that person’s position as he or she is visited by Miriam.Which shows all the outcomes for this event if she visits with Nicole first and Louise last?

A farmer grows vegetables on seven acres, fruit on six acres, and flowers on two acres. Out in his fields, he finds a ladybug.To the nearest tenth of a percent, what is the theoretical probability that the ladybug was not found within the acres of flowers?

Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books.If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book?

The spinner is equally likely to land on any of the five sections.

Twelve education students, in groups of four, are taking part in a student-teacher program. Mark cannot be in the first group because he will be arriving late.How many ways can the instructor choose the first group of four education students?

A coach chooses six out of eight players to go to a skills workshop.If order does not matter, in how many ways can he choose the players for the workshop?

A bag contains eleven equally sized marbles, which are numbered.

Students in a class were surveyed about the number of children in their families. The results of the survey are shown in the table.

The people who responded to a survey reported that they had either brown, green, blue, or hazel eyes. The results of the survey are shown in the table.

All freshmen, sophomores, juniors, and seniors attended a high school assembly. The total student attendance is shown in the table.

When a softball player gets a hit, it can be a single, double, triple, or home run. When Josephine is at bat, the probability that she hits a single is 15 percent and the probability that she hits a double is 5 percent.What is the probability that Josephine hits a single or a double when she is at bat?

Which events are independent? Select three options.Roll a number cube, and then roll the same number cube again.Flip a coin, and then flip the coin a second time. Remove a card from a deck, and then remove a second card.Draw a card from a deck, replace it, and then draw a second card.Take a marble out of a bag, and then take a second marble out of the bag.