Experimental vs. Theoretical Probability Answers

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?

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?

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 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?

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 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?

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.

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?

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?

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?