Answer:
Experimental probability = 9 / 100
Theoretical probability = 1/7
Step-by-step explanation:
The experimental probability of an event is written as :
P = number of times event occur / total number of trials
Experimental probability is based on the outcome of an experiment that has taken place.
Theoretical probability is based on expected outcome of an event.
P = number of expected or required outcomes / total possible outcomes
Experimental probability of choosing the name Michael is :
Number of times Michael is chosen / number of trials
Experimental probability = 9 / 100 = 0.09
Theoretical probability of choosing michael:
Number of names in hat = 7
Number of names called Michael in hat = required outcome = 1
P = 1 / 7
If the number of names in hat was different from 7, then the theoretical probability will change.
Also, if the number of times a name was chosen was different from 100, then number of trials will also change and hence, the experimental probability.
