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# A family has 2 ch

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 , Cs = {BB, BG}

The number of sample space, nC = 2

Since  And,  Now, The required probability,

We know, So, Hence, Rate this question :

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