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Three children are selected at random from a group of 6 boys and 4 girls. It is known that in this group exactly one girl and one boy belong to same parents. The probability that the selected group of children have no blood relations, is equal to?
    Correct answer is '0.93'. Can you explain this answer?
    Verified Answer
    Three children are selected at random from a group of 6 boys and 4 gir...
    P(boy and his sister both are selected)

    ∴  Required probability
    = 1 – 1/15 = 14/15 = 0.93
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    Most Upvoted Answer
    Three children are selected at random from a group of 6 boys and 4 gir...


    Understanding the Problem

    - We have 6 boys and 4 girls in a group.
    - Exactly one girl and one boy belong to the same parents.
    - We need to find the probability that the selected group has no blood relations.

    Solution

    Total Number of Ways to Select 3 Children

    - Total children = 6 boys + 4 girls = 10
    - Total ways to select 3 children out of 10 = 10C3 = 120

    Number of Ways to Select 3 Children with Blood Relations

    - There are 4 ways to choose the boy and girl from the same parents.
    - Once we choose the boy and girl, we have 8 remaining children to choose the third child from.
    - Number of ways to select 3 children with blood relations = 4 * 8 = 32

    Number of Ways to Select 3 Children with No Blood Relations

    - Total ways to select 3 children with no blood relations = Total ways - Ways with blood relations
    - Number of ways to select 3 children with no blood relations = 120 - 32 = 88

    Probability of Selecting Group with No Blood Relations

    - Probability = Number of ways to select 3 children with no blood relations / Total number of ways
    - Probability = 88 / 120 = 0.7333

    Therefore, the probability that the selected group of children have no blood relations is 0.7333.
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    Three children are selected at random from a group of 6 boys and 4 girls. It is known that in this group exactly one girl and one boy belong to same parents. The probability that the selected group of children have no blood relations, is equal to?Correct answer is '0.93'. Can you explain this answer?
    Question Description
    Three children are selected at random from a group of 6 boys and 4 girls. It is known that in this group exactly one girl and one boy belong to same parents. The probability that the selected group of children have no blood relations, is equal to?Correct answer is '0.93'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Three children are selected at random from a group of 6 boys and 4 girls. It is known that in this group exactly one girl and one boy belong to same parents. The probability that the selected group of children have no blood relations, is equal to?Correct answer is '0.93'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three children are selected at random from a group of 6 boys and 4 girls. It is known that in this group exactly one girl and one boy belong to same parents. The probability that the selected group of children have no blood relations, is equal to?Correct answer is '0.93'. Can you explain this answer?.
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