MATH201 - W5 - What are the chances Assignment - Laura Christ

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Bryant & Stratton College *

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MATH201

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Statistics

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Apr 3, 2024

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docx

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Uploaded by DukeStingray3487

Week 5 – Assignment 2 – What are the chances? - Template Use a six-sided die and what you have learned so far in your course to help you answer the questions below. If you do not have a die to use at home, you can use the virtual die via the link below. Virtual Six-Sided Die 1. In 150 words, describe the difference between theoretical and experimental probability. Which do you think is more reliable and why? The difference between theoretical and experimental probability is that theoretical probability is based on what we expect of the numbers. An example of theoretical probability would be that if you toss a coin, you expect it to either land heads up or tails up, you have a 50/50 chance of that happening. With experimental probability, you are seeing what the outcome will be if you repeat the event. An example of experimental probability would be, I tossed the coin 8 times. Out of those 8 times, 2 times it landed heads up, but 6 times it landed tails up. 2/8 chance for heads in the experimental probability and a 6/8 chance for tails in the experimental probability. 2. Determine the theoretical probability of rolling a two with one standard die. Write this probability in three equivalent forms: as a fraction , a decimal (rounded to three places) and a percentage (rounded to one decimal place). The probability of rolling a two with one standard die would be 1/6, or 0.06, or 6% 3. Now, take your die and roll it the number of times that is equal to your age in years. Create a table below to document each roll of the die. Use this trial data to determine the experimental probability of rolling a two on the die. Write this probability in three equivalent forms: as a fraction , a decimal (rounded to three places) and a percentage (rounded to one decimal place). 6 2 5 4 6 1 6 3 1 4 2 3 1 5 4 1 3 6 3 1 5

3 5 3 5 2 6 6 The probability of rolling a two in this scenario is 3/28, or .107 or 10.7% 4. Was your experimental probability equal to the theoretical probability of rolling a two? If not, do you think the two calculations would be closer if you doubled the number of times you rolled your die? Explain in 200 words. I do not believe the experimental probability was equal to the theoretical probability. With the theoretical probability, the chances of rolling a two were 1/6, whereas in the experimental probability, it was quite the same, the first 2 twos that were rolled were both within six rolls, but the last two rolled were rolled well after the six marks. I do not believe that doubling the number of times rolled will help since the probability is sporadic.

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