Question

8 different names were put into a hat. A name is chosen 112 times and the name Grace is chosen 23 times. What is the experimental probability of the name 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.

Answer 1

Answer:

We know that,

• Theoretical probability, when the probability is same no matter what the experiment says.

Here, it is given 8 different names.

Theoretical probability of highest choosing name:

• 1/8

Theoretical probability of Grace being chosen:

• 1/8

In sense of theoretical probability, if the number of names in the hat were different will change but then probability will not change.