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Leanne is conducting a probability experiment using a number cube with faces labeled from 1 to 6. Leanne rolled the number cube 40 times and recorded the number showing on top for each roll. The table shows the results. Number Cube ExperimentNumber Showing on Top Face Frequency1 72 93 64 35 76 8Based on these results, what is the experimental probability that the next time Leanne rolls the number cube that it will land with 1 or 6 showing on the top face?ResponsesA 585 8B 1151 15C 383 8D 26

Question

Leanne is conducting a probability experiment using a number cube with faces labeled from 1 to 6. Leanne rolled the number cube 40 times and recorded the number showing on top for each roll. The table shows the results. Number Cube ExperimentNumber Showing on Top Face Frequency1 72 93 64 35 76 8Based on these results, what is the experimental probability that the next time Leanne rolls the number cube that it will land with 1 or 6 showing on the top face?ResponsesA 585 8B 1151 15C 383 8D 26

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Solution

The question is asking for the experimental probability that the next roll will result in either a 1 or a 6.

Step 1: Identify the total number of rolls. This is given as 40.

Step 2: Identify the number of times a 1 or a 6 was rolled. From the table, we can see that a 1 was rolled 7 times and a 6 was rolled 8 times.

Step 3: Add these two frequencies together. 7 (for 1) + 8 (for 6) = 15.

Step 4: The experimental probability is then the number of successful outcomes (rolling a 1 or a 6) divided by the total number of outcomes (total rolls). So, the experimental probability is 15/40.

Step 5: Simplify the fraction if possible. The fraction 15/40 can be simplified to 3/8.

So, the experimental probability that the next roll will result in either a 1 or a 6 is 3/8. Therefore, the correct answer is C: 3/8.

This problem has been solved

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