Home
Class 11
MATHS
A couple has two children. Find the prob...

A couple has two children. Find the probability that
(i) both the children are boys, if it is known that the older child is a boy.
(ii) both the children are girls, if it is known that the older child is a girl.

Text Solution

Verified by Experts

The correct Answer is:
`thereforeP(A nn B) = 1/4 " "therefore P(A//B) = (P(A nn B))/(P(B)) = (1)/((4)/((2)/(4))) = 1/2`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION OF PROBABILITY THEOREM

    SURA PUBLICATION|Exercise EXERCISE 12.5|25 Videos

  • INTRODUCTION OF PROBABILITY THEOREM

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - A|14 Videos

  • INTRODUCTION OF PROBABILITY THEOREM

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEM SECTION - C|4 Videos

  • INTEGRAL CALCULUS

    SURA PUBLICATION|Exercise Section - D (5 marks)|3 Videos

  • MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION -D (5 MARK )|3 Videos

Similar Questions

Explore conceptually related problems

A couple has two children. Find the probability that both children are males, if it is known that atleast one of the children is male. ii. Find the probability that both children are females, if it is known that the eIder chiId is a female.

A family has two children. What is the probability that both the children are boys given that at least one of them is a boy ?

In a two children family, find the probability that there is at least one girl in a family.

Three boys and two girls stand in a queue. The probability, that the number of boys ahead is at least one more than the number of girls ahead of her, is

The probability that a car being filled with petrol will also need an oil change is 0.30, the probability that it needs a new oil filter is 0.40, and the probability that both the oil and filter need changing is 0.15. (i)If the oil had to be changed, what is the probability that a new oil filter is needed? (ii)If a new oil filter is needed, what is the probability that the oil has to be changed?

Six boys and six girls sit in a row randomly. Find the probability that (i) the six girls sit together, (ii) the boys and girls sit alternately.

The probability that a man buying a shirt is 0.2 and that for buying a trouser is 0.3. The probability that he will buy a shirt given that he buys a trouser is 0.4. i. Find the probability that he will buy both a shirt and a trouser ii. Find the probability that he will buy a trouser, given that he buys a shirt.

The probability that a car being filled with petrol will also need an oil change is 0.30, the probability that both the oil and filter need changing is 0.15. (i) If the oil had to be changed, what is the probability that a new oil filter is needed ? (ii) If a new oil filter is needed, what is the probability that the oil has to be changed ?