**Rolling a Die Experiment****Question:**You roll a die 36 times. The table shows the results. For which number is the experimental probability of rolling the number the same as the theoretical probability?**Table:**| Number on the Die | Frequency of Rolls ||-------------------|-------------------|| One | 4 || Two | 6 || Three | 9 || Four | 5 || Five | 4 || Six | 8 |**Options:**- [ ] One- [ ] Two- [ ] Three- [x] Four- [ ] Five- [ ] Six**Explanation:**The theoretical probability of rolling any particular number on a fair six-sided die is \( \frac{1}{6} \). To find the experimental probability, we divide the frequency of each outcome by the total number of rolls, which is 36.Let's calculate the experimental probabilities:- For the number one: \( \frac{4}{36} = \frac{1}{9} \)- For the number two: \( \frac{6}{36} = \frac{1}{6} \)- For the number three: \( \frac{9}{36} = \frac{1}{4} \)- For the number four: \( \frac{5}{36} \) (this does not simplify to \( \frac{1}{6} \))- For the number five: \( \frac{4}{36} = \frac{1}{9} \)- For the number six: \( \frac{8}{36} = \frac{2}{9} \)From the calculations above, the experimental probability that matches the theoretical probability (which is \( \frac{1}{6} \)) is for the number two.

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Description: **Rolling a Die Experiment****Question:**You roll a die 36 times. The table shows the results. For which number is the experimental probability of rolling the number the same as the theoretical probability?**Table:**| Number on the Die | Frequency o

Given that a die is rolled 36 times Find out for which number the experimental probability of…

Answered: You roll a die 36 times. The table…

Math

Geometry

You roll a die 36 times. The table shows the results. For which number is the experimental pro probability? Rolling a Die One Two Three Four Five Six 4 6. 4. One Two O Three 8. 9

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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