Independent and Mutually Exclusive Events

Question 1

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?

Revolt · Accepted Answer

A: 16 percent

Question 2

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?

Revolt · Accepted Answer

C: P(largest or smallest) = 0.30 + 0.20 - 0.15

Question 3

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.

Revolt · Accepted Answer

A: Roll a number cube, and then roll the same number cube again.; B: Flip a coin, and then flip the coin a second time.; D: Draw a card from a deck, replace it, and then draw a second card.

Question 4

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?

Revolt · Accepted Answer

C: The product of P(A) and P(B) is not equal to P(A and B).

Question 5

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?

Revolt · Accepted Answer

B: StartFraction 25 Over 144 EndFraction

Question 6

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?

Revolt · Accepted Answer

A: One-sixth

Question 7

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?

Revolt · Accepted Answer

C: 20 percent

Question 8

Which scenario depicts two independent events?

Revolt · Accepted Answer

A: The school play opens tonight and it is raining.

Question 9

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?

Revolt · Accepted Answer

D: 3 percent

Question 10

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?

Revolt · Accepted Answer

A: Circles A and B overlap, and circles B and C overlap.

Independent and Mutually Exclusive Events Answers

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