In a certain class of students, there are 8 boys from Wilmette, 4 girls from Winnetka, 10 girls from Wilmette, 5 boys from Glencoe, 3 boys from Winnetka and 7 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will be a boy?

Respuesta :

Answer:

43.24% probability that the student will be a boy

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

Student being a boy.

8 boys from Wilmette

5 boys from Glencoe

3 boys from Winnetka

So [tex]D = 8+5+3 = 16[/tex]

Total outcomes:

All students

[tex]T = 8+4+10+5+3+7 = 37[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{16}{37} = 0.4324[/tex]

43.24% probability that the student will be a boy

Answer:

[tex]\frac{16}{37}\approx0.432[/tex]

Step-by-step explanation:

BOYS

  • 8 boys from Wilmette
  • 5 boys from Glencoe
  • 3 boys from Winnetka

GIRLS

  • 4 girls from Winnetka
  • 10 girls from Wilmette
  • 7 girls from Glencoe

Total Number of Boys n(B)= 8+5+3=16

Total Number of Girls, n(G)=4+10+7 =21

Total Number of students, n(S) =21+16 =37

If a student is called randomly to answer a question,

P(Student will be a boy)

[tex]=\frac{n(B)}{n(S)} \\=\frac{16}{37}\approx0.432[/tex]