Mr. A has six children and atleast one child is a girl, then probability that Mr. A has 3 boys and 3

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14.Probability

normal

Mr. A has six children and atleast one child is a girl, then probability that Mr. A has $3$ boys and $3$ girls, is

A

$\frac{20}{63}$

B

$\frac{1}{3}$

C

$\frac{5}{11}$

D

$\frac{1}{32}$

Solution

$\frac{{\left( {\frac{{6!}}{{3!3!}}} \right)}}{{{2^6} – 1}} = \frac{{20}}{{63}}$

Standard 11

Mathematics

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(JEE MAIN-2020)