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.

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A ALEKS
A www-awn.aleks.com/alekscgi/x/Isl.exe/1o_u-lgNsikasNW8D8A9PVvfa8mJE3KuG5ops4aCZhcLFB2HRRwx2XyIK2tF381rTIG10ZZc4VVgAPGmEcveE
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
Check
O 2021 McGraw-Hill Education. All Rights Reserve
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Transcribed Image Text:A ALEKS - Hallie Navarro - Learn x A ALEKS A www-awn.aleks.com/alekscgi/x/Isl.exe/1o_u-lgNsikasNW8D8A9PVvfa8mJE3KuG5ops4aCZhcLFB2HRRwx2XyIK2tF381rTIG10ZZc4VVgAPGmEcveE 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 Check O 2021 McGraw-Hill Education. All Rights Reserve MacBook Air esc @ %23 24 % 4 6. 7 W ab
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:

PE=no. of times an event occursTotal no. of times the experiment is done

Required probability:

Prolling a 6=120=0.05

 

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