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A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.

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5 answers

there are 6 sides so 1/6 = 0.167
1/6 * 450 = 75 times in theory
67/450 = 0.149
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.
a. The theoretical probability of rolling a 3 is 1/6. This is because there is only one face of the cube with a 3, and the cube has a total of 6 faces. So, the probability of rolling a 3 on any given roll is 1/6.

b. The experimental probability of rolling a 3 is 67/450. This is because out of the 450 total rolls, the number 3 came up 67 times. To find the experimental probability, you divide the number of times the event occurred (67) by the total number of trials (450). This gives a result of 0.149, which when simplified to a fraction is 67/450.