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15 December, 22:02

A science class has 4 girls and 4 boys in the seventh grade and 5 girls and 7 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both girls?

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  1. 15 December, 22:18
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    The correct answer is 5/24 or 0.21

    Step-by-step explanation:

    1. Let's review all the information given to answer the question correctly:

    Science class in seventh grade = 4 girls and 4 boys

    Science class in eighth grade = 5 girls and 7 boys

    2. What is the probability that both students selected for the competition are girls, a seventh grader and an eighth grader?

    These are independent events, therefore:

    Probability of two independent events = Probability of A * Probability of B

    Probability of both students selected for the competition are girls = 4/8 * 5/12

    Probability of both students selected for the competition are girls = 20/96 = 5/24

    The correct answer is 5/24 or 0.21
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Home » Mathematics » A science class has 4 girls and 4 boys in the seventh grade and 5 girls and 7 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition.
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