three groups of children contain 3 girls and 1 boy : 2 girls and 4 boys :and 1 girls and 3 boys respectively. one children is selected at random from each group. find the chance that the three selected comprise 1 girl and 2 boys.
We have to find the chance that the three selected comprise of 1 girl and 2 boys also 1 child is selected from each of the group.
The total sample space for the given event as one child is selected from each of the 3 groups is-
Now number of favorable outcomes such that 3 selected children comprise of 1 girl and 2 boys-
When girl is selected from the first group-
When girl is selected from the 2nd group-
When girl is selected from the 3rd group-
Therefore,