contestada

There are 12 pupils in a class.
They are each asked whether they have a brother or a sister.

9 say they have a brother.
7 say they have a sister.
2 say they have neither.
Fill in the Venn diagram.​

There are 12 pupils in a classThey are each asked whether they have a brother or a sister9 say they have a brother7 say they have a sister2 say they have neithe class=

Respuesta :

Answer:

The value in box of circle B is 3 and the value in box which belongs in both circle B and S is 6 and value which belongs in circle S is 1 and the value of box outside both the circle is 2.

Step-by-step explanation:

In given Venn diagram

ε = class of 12 pupils

pupils who have brother B = 9

pupils who have sister S = 7

pupils who have neither brother nor sister = 2

Hence the Venn diagram is drawn in the attachment for your reference.

n(E) =12

n(neither B nor S) = 2

So, n(B or S)= n(E) - n(neither B nor S)= 12-2=10

n(B) = 9

n(S) = 7

Now, addition theorem,

n(B or S) = n(B) + n(S) - n(B and S)

[tex]10=9+7-n(B\ and \ S)\\n(B\ and \ S) = 6[/tex]

So the value in box which is in both circle B and S is 6.

So the Box which contains only brothers = n(B) - n(B and S)  = 9 - 6 = 3

Value in box of circle B is 3.

So the Box which contains only Sisters = n(S) - n(B and S)  = 7 - 6 = 1

Value in box of circle S is 1.

Ver imagen jitumahi76

There are 12 pupils in a class so, the number of pupils having both brother and sisters are 6 and the pupils had either brother or sister are 10.

Given :

  • There are 12 pupils in a class.
  • 9 say they have a brother.
  • 7 say they have a sister.
  • 2 say they have neither.

Given that there are pupils in a class that is, n(E) = 12

Pupils who have brother, n(B) = 9

Pupils who have sister, n(S) = 7

Pupils who have neither brother nor sister, n(neither B nor S) = 2

So,  n(B or S) = n(E) - n(neither B nor S)

                      = 12 - 2 = 10

n(B or S) = 10

Now, through the addition theorem:

n(B or S) = n(B) + n(S) - n(B and S)

10 = 9 + 7 - n(B and S)

n(B and S) = 6

For more information, refer to the link given below:

https://brainly.com/question/23017717

Otras preguntas