Question

There are 7 children, you are told that youngest child is boy the probability that all of them are boys is one in?

Answer 1

Answer:

1/64

Step-by-step explanation:

given youngest is boy

remaining 6 children

so one child probability of boy =1/2

for 6 boy = 1/2*1/2*.....6 times

=1/64

required probability is 1/64

Answer 2

Answer:

$\frac{1}{64}$

Step-by-step explanation:

Total No. of children = 7

Youngest child is boy

Now we are supposed to find The probability that all of them are boys .

Since we are given that Youngest child is boy

Total events = {Girl, Boy}=2

Favorable event =Boy=1

Remaining children = 6

So, Probability that all of them are boys = $\frac{1}{2} \times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}$

                                                                  = $\frac{1}{2}^6$

                                                                  = $\frac{1}{64}$

Hence the probability that all of them are boys is $\frac{1}{64}$