Independent and Mutually Exclusive Events Answers

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

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 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?

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?

In a standard deck of cards there are four suits: spades, clubs, hearts, and diamonds. Each suit has one each of 13 cards: ace, king, queen, jack, 2, 3, 4, 5, 6, 7, 8, 9, and 10.If event A is choosing a king, event B is choosing a heart, and event C is choosing a jack, which Venn diagram could represent this description?

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

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 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?

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