Compound Events and Sample Space Answers

A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?

Nathan rolls a number cube and records the result of each roll in the table.Number CubeNumber RolledFrequency111216314420512617Which statements below represent the situation? Select three options.

Josh used a standard deck of 52 cards to conduct an experiment. Half of the cards in the deck were red. The other half were black. Josh predicted that he would choose a red card in 4 out of 8 trials. When he conducted the experiment, he actually chose a red card 6 out of 8 times. Which explains the most likely reason for the discrepancy between Josh’s predicted and actual results?

Four students are determining the probability of flipping a coin and it landing head's up. Each flips a coin the number of times shown in the table below.StudentNumber of FlipsAna50Brady10Collin80Deshawn20Which student is most likely to find that the actual number of times his or her coin lands heads up most closely matches the predicted number of heads-up landings?

Alberto conducted an experiment by rolling a fair six-sided number cube 60 times. He rolled a 2 fifteen times. Which statement about rolling a 2 in Alberto’s experiment is correct?

Jonas is conducting an experiment using a 10-sided die. He determines that the theoretical probability of rolling a 3 is . He rolls the die 20 times. Four of those rolls result in a 3. Which adjustment can Jonas make to his experiment so the theoretical and experimental probabilities are likely to be closer?

Prisha rolls a fair number cube multiple times and records the result of each roll. Her results are shown in the table.Number Cube NumberObserved Frequency118216324426516620How does the experimental probability of rolling a 3 compare with the theoretical probability of rolling a 3?

Frederick designed an experiment in which he spun a spinner 20 times and recorded the results of each spin. He spun a 4 five times. Which statements are true? Choose all that apply.

Elijah is going to spin a spinner 180 times. He predicts that 60 of those spins will result in the spinner landing on the section labeled 3. Based on the theoretical probability, which best describes Elijah’s prediction?

Mai conducted an experiment by flipping a fair coin 200 times. The coin landed heads up 110 times. Which statement about the coin landing heads up in Mai’s experiment 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?

Franz and his friends are using the spinners below to play a game.If one turn consists of spinning each spinner once, which table shows all the possible outcomes for one turn?

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?

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?

Phil is buying a sandwich. He has the following choices.Bread: wheat (W), italian (I), baguette (B)Cheese: grated (G), sliced (S)Meat: chicken (C), turkey (T), fish (F), ham (H)If each sandwich consists of one type of bread, one type of cheese, and one type of meat, which best represents four of his possible sandwich choices?

Jordan is planning to buy a vehicle. He has the following choices.Type: sedan or SUVTransmission: 5-speed or automaticColor: red, blue, black, green, or silverTop: sunroof or no sunroof Jordan says that he has a total of 2 + 2 + 5 + 2, or 11, possible vehicle choices. What is Jordan’s error?

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?

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?

Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 colors, and 3 styles. First, Tahari chooses the color. Which explains the number of options that she has left after she chooses the color?

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?