Mr. A has six children and at least one child | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The total number of ways to have $6$ children is $2^6 = 64$.Since at least one child is a girl,we exclude the case where all children are boys.The

Vedclass · Accepted Answer

$\frac{20}{63}$

Vedclass · Answer

(A) The total number of ways to have $6$ children is $2^6 = 64$.Since at least one child is a girl,we exclude the case where all children are boys.The number of favorable outcomes where at least one child is a girl is $64 - 1 = 63$.The number of ways to have $3$ boys and $3$ girls is given by the binomial coefficient $\binom{6}{3} = \frac{6!}{3!3!} = \frac{6 	imes 5 	imes 4}{3 	imes 2 	imes 1} = 20$.Therefore,the required probability is $\frac{20}{63}$.

Mr. $A$ has six children and at least one child is a girl. Then,the probability that Mr. $A$ has $3$ boys and $3$ girls is:

Similar Questions

If a leap year is selected at random,what is the chance that it will contain $53$ Tuesdays?

If $A$ and $B$ are any two events,then the probability that exactly one of them occurs is

Three coins are tossed once. Find the probability of getting no head.

$A$ batch of pencils contains $12$ good,$6$ slightly defective,and $2$ very defective pencils. If a pencil is selected at random,what is the probability that it is a non-defective pencil?

$A$ dice is thrown twice. The probability of getting $4, 5$ or $6$ in the first throw and $1, 2, 3$ or $4$ in the second throw is

Vedclass Test Series

Exam Paper Generator

Online Exam Module