Question 1013867: Hi..I was going over my granddaughter's homework and would like to know if you can explain it to me for my own peace of mind. I'm sure once it is explained it will probably be easy to understand..Thanks
Tranh needs to randomly assign 6,000 people into 6 approximately equal-sizes groups for a big event. She decides to use a number cube to assign them each a number from 1 to 6, which will represent the group they are in. She does a test-run with the number cube the day before the event. The results of her test-run are (in the table below): Number 1 times rolled 161, number 2 times rolled 160, number 3 times rolled 162, number 4 times rolled 206, number 5 times rolled 150, number 6 times rolled 161. What is the theoretical probability of rolling each number on the number cube, and what is the experimental probability based on Tranh's test? Explain how you calculated each probability. Can Tranh use her results to randomly assign everyone to an approximately equal-sized groups? Explain.
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! The theoretical probability of rolling each number on the cube is 1/6 = 0.166 approx 0.17
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experimental probability
sum the results for each number = 161 + 160 + 162 + 206 + 150 + 161 = 1000
number 1 = 161 / 1000 = 0.161 approx 0.16
number 2 = 160 / 1000 = 0.160 approx 0.16
number 3 = 162 / 1000 = 0.162 approx 0.16
number 4 = 206 / 1000 = 0.206 approx 0.20
number 5 = 150 / 1000 = 0.150 approx 0.15
number 6 = 161 / 1000 = 0.161 approx 0.16
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As more trials are conducted(6000 vs 1000), we can expect the experimental probability becomes closer to the theoretical probability.
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