Independent and Mutually Exclusive Events Answers

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.

A bag contains eleven equally sized marbles, which are numbered. Two marbles are chosen at random and replaced after each selection.

An amusement park reports that the probability of a visitor riding its largest roller coaster is 30 percent, the probability of a visitor riding its smallest roller coaster is 20 percent, and the probability of a visitor riding both roller coasters is 15 percent.Which equation can be used to calculate the probability of a visitor riding the largest or the smallest roller coaster?

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.

The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.Why are the events not independent?

A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?

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?

Under the best conditions, a sprout has a 40% probability of blooming.If two sprouts are selected at random, what is the probability that both will bloom, under the best conditions?

Which scenario depicts two independent events?

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?

The Hawaiian language has 12 letters: five vowels and seven consonants. Each of the 12 Hawaiian letters are written on a slip of paper and placed in the bag. A letter is randomly chosen from the bag and then replaced. Then, a second letter is randomly chosen from the bag.What is the probability that two vowels are chosen?

A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?

Which scenario depicts two independent events?

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

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.

Under the best conditions, a sprout has a 40% probability of blooming.If two sprouts are selected at random, what is the probability that both will bloom, under the best conditions?

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.

The Hawaiian language has 12 letters: five vowels and seven consonants. Each of the 12 Hawaiian letters are written on a slip of paper and placed in the bag. A letter is randomly chosen from the bag and then replaced. Then, a second letter is randomly chosen from the bag.What is the probability that two vowels are chosen?

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

A six-sided number cube is rolled twice.What is the probability that the first roll is an even number and the second roll is a number greater than 4?

A bicycle manufacturer is studying the reliability of one of its models. The study finds that the probability of a brake defect is 4 percent and the probability of both a brake defect and a chain defect is 1 percent.If the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect?

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.