Question

A randomly generated list of integers from 0 to 7 is being used to simulate anevent, with the numbers 1, 2, 3, 4, 5, and 7 representing a success. What is theestimated probability of a success?A. 60%B. 88%C. 50%D. 75%

Answer 1

Step 1: Concept

`\text{Probability of any event = }\frac{n\text{umber of required outcomes}}{n\text{umber of possible outcomes}}`

To find the percentage, you multiply with 100%

Step 2: Use the given data to find the probability of success

Randomly generated data are: 0 , 1 , 2, 3, 4, 5, 6, 7

From the data, we can see that the number of possible outcomes = 8

Next, the numbers that represent success are: 1, 2, 3, 4, 5, 7

Therefore, the number of required outcomes = 6

Step 3: Let find the probability of success

`\begin{gathered} \text{Probability of success = }(6)/(8) \\ \end{gathered}`

Next, let find the percentage.

`\begin{gathered} \text{Percentage number of success = }(6)/(8)\text{ }*\text{ 100\%} \\ =\text{ }(600)/(8) \\ =\text{ 75\%} \end{gathered}`

Step 4: Final answer

= 75% Option D