Question

Six different names were put into a hat. A name is chosen 125 times and the name Grace is chosen 17 times. What is the experimental probability of the name Grace being​ chosen? What is the theoretical probability of the name Grace being​ chosen? Use pencil and paper. Explain how each probability would change if the number of names in the hat were different.

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The experimental probability of choosing the name Grace is __
​(Type an integer or a simplified​ fraction.)

Answer 1

Explanation:

The experimental probability of choosing Grace is 13.6% (17/125*100)

The theoretical probability of choosing Grace is 16.67% (1/6)

Each probability would change because they depend on the data set so if the data set changes, that means the probability will also change depending on the amount it changes.