Independent and Mutually Exclusive Events: Assignment

The probability of event A is 0.48, the probability of event A and B is 0.21, and the probability of events A or B is 0.89. What is the probability of event B?

.62

A pharmaceutical company collects data on the side effects participants report for a drug it is testing. The company finds that the probability of experiencing a headache is 5 percent and the probability of experiencing both a headache and heartburn is 2 percent. If the probability of experiencing a headache or heartburn is 8 percent, what is the probability of experiencing heartburn?

5%

A spinner contains four equally shaded areas, as shown below. Louise spins the spinner twice. Which probabilities are correct? Check all that apply.

A. P(both green) = 1/16 B. P(both blue) =1/4 D. P(first orange and then blue) = 1/8

This week in school, there is a 75 percent probability of having a fire drill, a 50 percent probability of a tornado drill, and a 25 percent probability of having both drills. Let event F be a fire drill and event T be a tornado drill. Are the two events independent?

A. No, because P(F ∩ T) ≠ P(F) • P(T).

Which events are independent? Check all that apply.

B. A number cube is rolled and a spinner is spun. Henry rolls a multiple of 2 and lands on a red portion of the spinner. C. Two cards are randomly chosen from a standard deck. Eliza chooses a jack, replaces it, and then chooses a black card. E. A card is randomly chosen from a standard deck and a dart is randomly thrown. Olivia chooses an ace and the dart hits the bull's-eye.

The names of the months are each written on a slip of paper. If a slip of paper is randomly drawn, which scenario depicts mutually exclusive events?

B. ends with an r and has five or fewer letters

Josiah takes a multiple-choice quiz that has three questions. Each question has five answer options. If he randomly chooses his answers, what is the probability that he will get all three correct?

C. 1/125

Events A and B are mutually exclusive. Events B and C are non-mutually exclusive. Which Venn diagram could represent this description?

D

Every person has blood type O, A, B, or AB. A random group of people are blood-typed, and the results are shown in the table. Use the table to determine the following probabilities.

The probability that a randomly chosen person from this group has type B is 3/25 The probability that a randomly chosen person from this group has type AB is 1/25 The probability that a randomly chosen person from this group has type B or type AB blood is 4/25