Q. 115.0( 1 Vote )

# A family has 2 ch

Given, A family has two children

To Find: Find the probability that both are boys

Explanation: Let us Assume Boy is B and Girl is G

So, The number of sample spaces are 4.

The sample space , S = {BB, BG, GB, GG}

Now, If Both are boys,

Then, Sample space, A = {BB}

The number of sample space, nA = 1

(i) at least one of the children is a boy

If there is at least one boy

B = {BB, BG, GB}

The number of sample space, nB = 3

P(B) =

Now,

The required probability P(A/B)

We know,

So,

Hence,

(ii) the elder child is a boy.

Let C = The elder child is a boy

So, The sample space , Cs = {BB, BG}

The number of sample space, nC = 2

Since

And,

Now, The required probability,

We know,

So,

Hence,

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Coloured balls arMathematics - Board Papers

If A and B are twMathematics - Board Papers

State True or FalMathematics - Exemplar

State True or FalMathematics - Exemplar

State True or FalMathematics - Exemplar

State True or FalMathematics - Exemplar

State True or FalMathematics - Exemplar

Prove that if E aMathematics - Board Papers

State True or FalMathematics - Exemplar