Compound Events and Sample Space Answers

Ahmad is choosing a password to access his teacher’s web page. He must choose a capital letter and three nonrepeating digits from 0 through 9. The letter can be in any position in the password. Which shows part of the sample space for Ahmad’s password?

Marissa is choosing a four-digit PIN for her ATM card. The first digit must be a digit from 1 through 9. For the other three digits, she can choose any combination of digits 0 through 9, but may not repeat a digit. Which shows part of the sample space for Marissa’s PIN?

Jalen is buying a new car. He has the options below.Model: compact, luxury, sportTransmission: automatic, manualColor: red, blue, black, yellowJalen decides that he wants a yellow car. What is the total number of choices he has?

Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is 7, Hannah wins. If the sum is not 7, Corrine wins. Corrine says Hannah can win only if the following occurs:1 on the first cube, 6 on the second cube2 on the first cube, 5 on the second cube3 on the first cube, 4 on the second cubeWhich best explains if Corrine is correct?

Jamie made the tree diagram below to show the different choices he has for ordering a pizza for lunch.According to the tree diagram, which best describes how many choices Jamie has for his pizza?

Rhianna has a spinner, which is divided into four equal parts. The parts are numbered 1, 2, 3, and 4. If Rhianna spins the spinner and tosses a coin, which table shows all the possible outcomes?

The Bawden family is shopping for a new television. They are making their decision based on brand and size. The family has 20 possible outcomes for choosing a television. Which is a possible number of brands and sizes that the family has to choose from?

Lola tossed a coin twice. She made a tree diagram to show the possible outcomes. Which tree diagram shows the sample space for two tosses of a coin?

A pizzeria makes pizzas in different sizes and with different toppings. The pizzeria wants its customers to have 12 options when they create a pizza. Which combination of size and toppings will give customers 12 options? Select three options.

Jonathan has a bag that contains exactly one red marble (r), one yellow marble (y), and one green marble (g). He chooses a marble from the bag without looking. Without replacing that marble, he chooses a second marble from the bag without looking. Which outcomes would be included in the sample space for Jonathan’s experiment? Select three options.