Question

In a certain class of​ students, there are 9 boys from​ wilmette, 3 girls from​ kenilworth, 7 girls from​ wilmette, 6 boys from​ glencoe, 4 boys from kenilworth and 5 girls from glencoe. if the teacher calls upon a student to answer a​ question, what is the probability that the student will be from​ kenilworth? round your answer to three decimal places.

Answer 1

Total Kenilworth students = 4 boys + 3 girls = 7.
Total students = 9+3+7+6+4+5=34.
So, the probability of a student from Kenilworth being called upon is 7/34=0.20588, or 20.588%

Answer 2

Answer: 0.206

Explanation:

Formula to find probability :
`\frac{\text{Favorable outcomes}}{\text{Total outcomes}}`

Given : Number of girls from Kenilworth= 3

Number of boys from Kenilworth =4

Number of students from Kenilworth = 3+ 4

Total students = 9+3+7+6+4+5 =34

If the teacher calls upon a student to answer a​ question, the probability that the student will be from Kenilworth will be :-

`\frac{\text{Number of students from Keilworth}}{\text{Total students}}\\\\=(7)/(34)=0.205882352941\approx0.206\ \text{[Rounded to the nearest three decimal places.]}`

Hence, the probability that the student will be from​ Kenilworth = 0.206