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Three groups of children contain 3 girls...

Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys; 1 girl and 3 boys respectively. One child is selected at random from each group. Find the chance that the three selected comprise one girl and 2 boys.

Text Solution

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To solve the problem of finding the probability that three selected children comprise one girl and two boys from the three groups, we can break it down step by step. ### Step 1: Identify the Groups We have three groups of children: - **Group 1**: 3 girls and 1 boy - **Group 2**: 2 girls and 2 boys - **Group 3**: 1 girl and 3 boys ...
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Suppose there are 3 groups A,B and C comprising 4 girls,3 boys; 6 girls,7 boys and 3 girls,2 boys,respectively.One child is selected at random from each group.What is the probability that the 3 selected have 2 girls and 1 boy?

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Knowledge Check

  • Three groups of children contain 3 girls and 1 boy: 2 girls and 2 boys, 1 girl and 3 boys. One child is selected at random from each group. The probability that the three selected consists of 1 girl and 2 boys is

    A
    `(13)/(32)`
    B
    `(9)/(32)`
    C
    `(3)/(32)`
    D
    `(1)/(32)`
  • Three groups of children contain respectively 3 girls and 1 boy, 2 girls and 2 boys and 1 girl and 3 boys. One child is selected at random from each group. The probability that the three selected consists of 1 girl and 2 boys is

    A
    `13/32`
    B
    `12/32`
    C
    `15/32`
    D
    `11/32`
  • Out if five girls and three boys, four children are to be randomly selected for contest . What is the probability that all the selected children are girls ?

    A
    `(1)/(14)`
    B
    `(1)/(7)`
    C
    `(5)/(17)`
    D
    `(2)/(17)`
  • Similar Questions

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