Independent and Mutually Exclusive Events Answers

Which scenario depicts two independent events?

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.

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?

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?

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. Two marbles are chosen at random and replaced after each selection.

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?

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?