The probability that a randomly generated number (integer) from 0 to 7 will be a specific integer is given by: Option A: 1/8
How to calculate the probability of an event?
Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
We will make following assumptions:
- The numbers generated are integers from 0 to 7, where both 0 and 7 are inclusive.
- We've to find the probability that a specific number occurs when a number is randomly generated.
Since there are total 8 different values(0,1,2,3,4,5,6,7), and due to randomness, all those 8 values are equally probable, so we get:
P(A specific number will occur) = n(that specific number occurs)/ n(any one number occurs)
The number of way a specific number occurs in one random generation of a number is 1
The number of ways any of the integers from 0 to 7 occurs is 8.
Thus, we get:
P(A specific number will occur) = 1/8
Thus, the probability that a randomly generated number (integer) from 0 to 7 will be a specific integer is given by: Option A: 1/8
Learn more about probability here:
brainly.com/question/1210781
