SOLUTION: Three different groups of children consist of 3 girls and 1 boy, 2 Boys and 2 Girls and 3 Boys and 1 Girl Respectively. One Child is selected at random from each group. Find the ch

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Question 388800: Three different groups of children consist of 3 girls and 1 boy, 2 Boys and 2 Girls and 3 Boys and 1 Girl Respectively. One Child is selected at random from each group. Find the chance that the 3 selected consist of 1 girl and 2 boys.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Probability of:
all boys = 1/4 * 2/4 * 3/4 = 6/64 = 3/32
all girls = 3/32 also
3/32 * 2 = 6/32 = 3/16 all of one sex
1 - 3/16 = 13/16 one of one sex and two of the other.
13/16 * 1/2 = 13/32 Probability of 1 girl and 2 boys.
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Ed