Question

In a family having three children there may be no girl .one girl.two girl.or three girl.so the probability of each is 1/4 .is this correct? justify your answer

Answer 1

Hii dear,

Probability measures the likelihood of an event to occur.

Probability of event X is given by

P(X) = number of favorable outcomes/ total possible outcomes

In a family with 3 children, there are 4 possibilities and equal chances of every event -

n = 4

1) Event A = 0 girls, 3 boys

For event A

P(A) = n(A)/n

P(A) = 1/4

2) Event B = 1 girl, 2 boys

For event B

P(B) = n(B)/n

P(B) = 1/4

3) Event C = 2 girls, 1 boy

For event C

P(C) = n(C)/n

P(C) = 1/4

4) Event D = 3 girls, 0 boys

For event D

P(D) = n(D)/n

P(D) = 1/4

Hence probability of each possibility is same i.e. 1/4

Keep asking...

Answer 2

Answer:

No it is not correct .

Let boys be B and girls be G

outcomes can be BBB , GGG , BBG , BGB , GBB, GGB, GBG , BGG

then Probability of 3 girls = 1/8

Probability of 0 girls = 1/8

Probability of 2 girls = 3/8

Probability of 1 girl = 3/8