Question

five different names were put into a hat. A name is chosen 111 times and the name Karen is chosen 29 times. What is the experimental probability of the name Karen being​ chosen? What is the theoretical probability of the name being​ chosen? Use pencil and paper. Explain how each probability would change if the number of names in the hat were different.

Answer 1

Explanation:

P(experimental) = outcome = 29/111

P(theoretical) = P(equal chance) = 1/5

P(expt) no change w/ no. of names

P(theo) changes w/ no. of names

Answer 2

Explanation:

As the name Karen is chosen 29 out of 111 times,

the experimental probability of the name Karen being​ chosen = 29/111

As five different names were put into a hat,

the theoretical probability of one name like Karen being​ chosen = 1/5

If the number of names in the hat were different, the experimental probability will still depend on the outcomes. If it is 29 out of 111 times, then the probability stays the same.

But the theoretical probability will be 1 out of the number of names. So it will change.