Question

Challenge Six different names were put into a hat. A name is chosen 111 times and the name Mayais chosen 23 times. What is the experimental probability of the name Maya being chosen? What isthe theoretical probability of the name Maya being chosen? Use pencil and paper. Explain how eachprobability would change if the number of names in the hat were differentThe experimental probability of choosing the name Maya is

Answer 1

We have a experiment that is repeated 111 times, where a name is picked from 6 options.

From the 111 times where a name is picked, Maya come up 23 times.

Then, we can calculate the experimental probability of choosing the name Maya as the success events (picking the name Maya, 23) divided by the total number of events (111):

`P(\text{Maya})=(23)/(111)`

If we do not consider the experiment result, we can estimate the theoretical probability of picking Maya as 1 out of 6, as Maya is one of the possible 6 names.

Then, the theoretical probability is 1/6.

Answer:

Empirical probability = 23/111

Theoretical probabiltiy = 1/6

This theoretical probability is the inverse of the number of names in the hat. Then, if we change the number of names, the probability will also change.