Question

A random generator is used to select an integer from 1 to 3 inclusive. What is the difference between the estimated probability that a 3 is generated and the actual probability that a 3 is generated?

1 2 3 3 3 2 2 1 1 1 2 3 1 1
A. 0.29
B. 0.33
C. 0.05
D. 0.04

Answer 1

option no D

Explanation:

AS it given that it is a random generator

so it will generate random integers between 1 and 3

so

possible sample space = {1,2,3}

Total no of out comes = 3

Estimated probability that 3 will occur will be obtained by dividing total no of outcomes with total no of possible events to occur

as the occurrence of event is only 1

so

Estimated probability = 1 /3 = 0.33333

Now

The experiment is performed

total outcomes = 14

Total no of like able events that 3 occurred = 4

Actual probability = 4 / 14

= 0.2857

Difference between actual and estimated probability is = 0.3333-0.2857

=0.0421

≅0.04

which is option D