In a family having three children, there may be no girl, one girl, two girls, or three girls. So, the probability of each is . Is this correct? Justify your answer.
Step 1: Find the sample space
We know that Probability of an outcome
There are two genders, Boy and Girl .
The total number of cases, if these genders have been taken in groups of together, .
The cases are .
Step 2: Determine whether the given statement is correct or not
The cases for no girl is .
Thus, the number of cases for no girl is .
Hence, the probability of no girl is .
The cases for one girl are .
Thus, the number of cases for one girl is .
Hence, the probability of one girl is .
The cases for two girls are .
Thus, the number of cases for two girls is .
Hence, the probability of two girls is .
The cases for three girls are .
Thus, the number of cases for three girls is .
Hence, the probability of three girls is .
Hence, the probability of each case is not .
Therefore, the given statement is not correct.