Experimental vs. Theoretical Probability Answers

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?

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?

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.

James conducted an experiment with 4 possible outcomes. He determined that the experimental probability of event A happening is 10 out of 50. The theoretical probability of event A happening is 1 out of 4. Which action is most likely to cause the experimental probability and theoretical probabilities for each event in the experiment to become closer?

A bag contains 1 red tile, 1 blue tile, 1 green tile, 1 yellow tile, and 1 purple tile. Kaison chooses a tile from the bag, records its color, and then replaces the tile. She repeats this procedure a total of 50 times. Her results are shown in the table.TilesColorObserved FrequencyRelative FrequencyRed15Blue12Green8Yellow10Purple5How does the experimental probability of choosing a yellow tile compare with the theoretical probability of choosing a yellow tile?

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?

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?

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?

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?

Luis rolled a number cube 60 times. He rolled the number 6 four times. Which is most likely the cause of the discrepancy between Luis’s experimental outcome and the predicted outcome?

A set of face cards contains 4 Jacks, 4 Queens, and 4 Kings. Carlie chooses a card from the set, records the type of card, and then replaces the card. She repeats this procedure a total of 60 times. Her results are shown in the table.CardsType of CardObserved FrequencyRelative FrequencyJack24Queen16King20How does the experimental probability of choosing a Queen compare with the theoretical probability of choosing a Queen?

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?

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.

Nadine conducted an experiment with four possible outcomes. Trevor conducted the same experiment, but he doubled the number of trials. Which statements are true? Select two options.

Jamie rolls a 6-sided die 30 times and determines that the experimental probability of rolling a 2 is . The theoretical probability of rolling a 2 is . What could Jamie do to make his experimental results more closely match the theoretical probability?