Answer:
The experimental probability is the same as the theoretical probability.
Step-by-step explanation:
The given data is:
color observed frequency relative frequency
Red 15 3/10
Blue 12 6/25
Green 8 4/25
Yellow 10 1/5
Purple 5 1/10
The experiment was repeated 50 numbers of times.
Solution:
Theoretical probability is basically what is expected to happen without experimenting and experimental probability is what actually happens as a results of an experiment.
Theoretical probability = favorable outcomes / all possible outcomes
Experimental probability = no. of times outcome occurs / no. of times
experiment is performed The experimental probability and theoretical probability are same i.e. 1/5
This can be seen from the table:
Experimental probability = 1/5
As the experiment is performed 50 times and the outcome (yellow tile) occurs 10 times so using the formula of experimental probability:
10/50 = 1/5
Now as given, there are 5 number of tiles (red,blue,green,yellow,purple) so number of possible outcomes is 5. Yellow tile among these 5 tiles is 1. So the favorable outcomes is 1. So looking at the given formula of theoretical probability:
1/5
So
experimental probability = 1/5
theoretical probability = 1/5
Hence the experimental probability is the same as the theoretical probability.
