Answer :

**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 , C_{s} = {BB, BG}

The number of sample space, nC = 2

Since

And,

Now, The required probability,

We know,

So,

Hence,

Rate this question :

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