Independent and Mutually Exclusive Events Answers

Which events are independent? Check all that apply.Each number 1 through 10 is written on a slip of paper, placed in a hat, and randomly picked. Sarah picks a number less than 5, keeps it, and then picks an odd number.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.Two cards are randomly chosen from a standard deck. Eliza chooses a jack, replaces it, and then chooses a black card.Two pairs of socks are randomly chosen from a drawer. Hayden chooses a black pair of socks, puts them on, and then chooses another black pair.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.

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?

Louise spins the spinner twice. Which probabilities are correct? Check all that apply.

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?

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?

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

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?