Out of 5 girls and 3 boys,4 children are to b | vedclass

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

Question

(A) Total number of children $= 5 + 3 = 8$.Number of ways to select $4$ children out of $8$ is given by the combination formula ${}^{n}C_{r} = \frac{n

Vedclass · Accepted Answer

$\frac{1}{14}$

Vedclass · Answer

(A) Total number of children $= 5 + 3 = 8$.Number of ways to select $4$ children out of $8$ is given by the combination formula ${}^{n}C_{r} = \frac{n!}{r!(n-r)!}$.Total ways $= {}^{8}C_{4} = \frac{8 	imes 7 	imes 6 	imes 5}{4 	imes 3 	imes 2 	imes 1} = 70$.Number of ways to select $4$ girls out of $5$ is ${}^{5}C_{4} = {}^{5}C_{1} = 5$.Probability of selecting $4$ girls $= \frac{	ext{Favorable outcomes}}{	ext{Total outcomes}} = \frac{5}{70} = \frac{1}{14}$.

Out of $5$ girls and $3$ boys,$4$ children are to be randomly selected for a quiz contest. What is the probability that all the selected children are girls?

Similar Questions

Two dice are thrown simultaneously. What is the probability of obtaining a sum of the numbers less than $11$?

The probability of getting the number $5$ when throwing a standard six-sided die is:

The probability that a leap year selected at random contains either $53$ Sundays or $53$ Mondays is

$A$ ticket is drawn from $200$ tickets numbered from $1$ to $200.$ Find the probability that the number is divisible by $2,$ $3,$ or $5.$

$A$ six-faced die is biased such that it is twice as likely to show an even number as an odd number when thrown. If it is thrown twice, what is the probability that the sum of the two numbers obtained is even?

Vedclass Test Series

Exam Paper Generator

Online Exam Module