Lucy rolled a number cube 20 times and got the following results. 1 2 3 Outcome Rolled Number of Rolls 4 5 6 2 5 5 4 3 1 Fill in the table below. Round your answers to the nearest thousandths. (a) From Lucy's results, compute the experimental probability of rolling a 6. (b) Assuming that the cube is fair, compute the theoretical probability of rolling a 6. (c) Assuming that the cube is fair, choose the statement below that is true: As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. O The experimental and theoretical probabilities must always be equal.
Lucy rolled a number cube 20 times and got the following results. 1 2 3 Outcome Rolled Number of Rolls 4 5 6 2 5 5 4 3 1 Fill in the table below. Round your answers to the nearest thousandths. (a) From Lucy's results, compute the experimental probability of rolling a 6. (b) Assuming that the cube is fair, compute the theoretical probability of rolling a 6. (c) Assuming that the cube is fair, choose the statement below that is true: As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. O The experimental and theoretical probabilities must always be equal.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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O PROBABILITY
Experimental and theoretical probability
Lucy rolled a number cube 20 times and got the following results.
Outcome Rolled
1
3
4
Number of Rolls
5
4
3
1
Fill in the table below. Round your answers to the nearest thousandths.
(a) From Lucy's results, compute the experimental probabillity of rolling a 6.
(b) Assuming that the cube is fair, compute the theoretical probability of rolling a 6.
(c) Assuming that the cube is fair, choose the statement below that is true:
As the number of rolls increases, we expect the experimental and theoretical probabilities to
O become closer, though they might not be equal.
O The experimental and theoretical probabilities must always be equal.
As the number of rolls increases, we expect the experimental and theoretical probabilities to
become farther apart.
Explanation
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Expert Solution
Step 1
Given Information:
Lucy rolled a number cube 20 times and got the following results:
| Outcome rolled | 1 | 2 | 3 | 4 | 5 | 6 |
| Number of Rolls | 2 | 5 | 5 | 4 | 3 | 1 |
Total possible outcomes = 20
(a) To find the Experimental probability of rolling a 6:
Experimental probability is the probability of an outcome based on an experiment. In other words, it's what happens in practice
Formula:
Required probability:
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