Question

Use the relative frequency approach to estimate the probability of the event. In a certain class of students, there are 8 boys from Wilmette, 5 girls from Kenilworth, 9 girls from Wilmette, 5 boys from Glencoe, 5 boys from Kenilworth and 7 girls from Glenoce. If the teacher calls upon a student to answer a question, what is the probability that the student will be from Kenilworth?

Answer 1

`P\text{Student will be from Kenilworth}\approx 0.256`

Explanation:

We have been given that that there are 8 boys from Wilmette, 5 girls from Kenilworth, 9 girls from Wilmette, 5 boys from Glencoe, 5 boys from Kenilworth and 7 girls from Glenoce.

The total number of students from Kenilworth is 5 boys plus 5 girls that is 10 students.

The total number of students in the class would be
`8+5+9+5+5+7=39`

`\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}`

`P\text{Student will be from Kenilworth}=\frac{\text{Number of student from Kenilworth}}{\text{Total number of students}}`

`P\text{Student will be from Kenilworth}=(10)/(39)`

`P\text{Student will be from Kenilworth}=0.2564102564`

`P\text{Student will be from Kenilworth}\approx 0.256`

Therefore, the probability, that the student will be from Kenilworth, is approximately 0.256.