Experimental vs. Theoretical Probability
Which statements are true? Check all that apply.
Answer: ✔ As the number of trials increases, experimental probability is closer to theoretical probability. ✔ As the number of trials increases, there is no change in the theoretical probabilities.
Emma conducted an experiment in which she rolled a six-sided, fair number cube 300 times. How many times would you predict she rolled a 6?
Answer: ✔ Emma conducted an experiment and she rolled a six sided number cube 300 times. The theoretical will be rolling a 6 and it can also be 1/6. 6 would be rolled about (1/6)(300), or it could be 50, times.
John is about to roll a six-sided, fair number cube 60 times. He wants to predict how many times the cube will land on an even number. He makes a prediction of 20 times. Is it a good prediction? What would your prediction be based on theoretical probability?
Answer: ✔ If John rolled a six- sided number and he predicts that it would be 20 times, and my predict would be 3 cause i divided 60 and 20 which gave me 3. And John prediction was to low and the theoretical probability of 1/2, and (1/2)(60) is 30. and also a number cube has 3 even number.
During Samuel's experiment, the experimental probability was 0.25. What else must be true about the experiment?
Answer: ✔ The experimental probability of the outcome is 1/4
Mali performed an experiment with a standard deck of 52 cards. She wanted to see if the face cards (Ace, King, Queen, and Jack) came up the expected number of times when she randomly selected 13 cards from the deck. Mali noticed that the observed frequencies did not match the predicted frequencies. What does she need to change in her experiment to get closer to the predicted values based on the theoretical probability for all the face cards?
Answer: ✔ increase the number of trails
Jamal performed an experiment flipping a coin. He did 10 trials and then his arm got tired. He recorded his results in the table. Based on the experimental probability, Jamal predicted that the number of times the coin lands heads up will always be greater than the number of times it lands tails up. What is the error in his prediction?
Answer: ✔ He did not perform enough trials to compare the theoretical and experimental probabilities.
A six-sided, fair number cube is rolled 100 times as part of an experiment. The frequency of the roll of f the number 3 is 20. Which statement about rolling a 3 is correct?
Answer: ✔ The theoretical probability is 1/6. The experimental probability is 1/5.
A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table
Answer: ✔ 1/5 ✔ 2/15
Maya wants to perform an experiment with a spinner labeled A, B, and C. The theoretical probabilities for each section are: P(A) = ½, P(B) = ¼, and P(C) = ¼. Which spinner could she use?
Answer: ✔ the second one, AAAA,BB,CC