Question

A randomly generated list of number from 0 to 7 is being used to simulate an event, with the numbers 0 and 1 representing a success. What is the estimated probability of a success?

Answer 1

Probability to get a success is 0 AND one

1) P(getting 0) = 1/8 ( from 0 to 7 = 8 numbers)

2) P(getting 1) = 1/8

P(1 and 0) = 1/8 x 1/8 = 1/64 =0.0156 = 1.56%

Answer 2

Hence, the estimated probability of a success=0.0156 or 1.56%.

Explanation:

Let P denotes the probability of an event

we are given number from 0 to 7.

Total number of outcomes=8

Now 0 an 1 represent a success.

Probability of getting 0 i.e. P(0)=
`(1)/(8)`

similarly,

Probability of getting 1 i.e. P(1)=
`(1)/(8)`

Hence, the estimate probability of success:

i.e.

`P(1 and 0)=(1)/(8)* (1)/(8)=(1)/(64)=0.0156=1.56%`.

(since the events are independent)