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Marcus flipped a coin 800 times and it landed heads up 560 times. What is the relative frequency of the coin landing heads up based on the results of this experiment? (5 points)

Group of answer choices

30%

70%

3%

7%

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Question 35 pts
(06.02)

A six-sided number cube labeled 1 through 6 is rolled 200 times. An even number is rolled 115 times. Compare the theoretical probability of rolling an even number with the relative frequency of rolling an even number and select one of the statements below that best describes the situation. (5 points)

Group of answer choices

The theoretical probability and relative frequency are the same.

The theoretical probability is larger than the relative frequency.

The theoretical probability is smaller than the relative frequency.

There is not enough information to determine the relative frequency.

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Question 45 pts
(06.02)

A bag contains 30 marbles, 3 of which are blue, 20 are red, 5 are green, and 2 are purple. Emerson takes a marble out of the bag, records the color, and returns it to the bag. How many purple marbles should he expect after 300 trials? (5 points)

Group of answer choices

20

30

50

200