There are five boys and five girls in a class. The teacher randomly selects three different students to answer questions. The firs

There are five boys and five girls in a class. The teacher randomly selects three different students to answer questions. The first student is a girl, the second student is a boy, and the third student is a girl. Find the probability of this occuring. A. 148 1 48 B. 28195 28 195 C. 536 5 36 D. 255

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  1. The probability that the first student is a girl, the second student is a boy, and the third student is a girl is 5/36

    How to determine the probability?

    The given parameters about the students are
    Boys = 5
    Girls = 5
    When a student is selected, the count of student in that gender decreases by 1 and the overall number of student decreases by 1
    The selection is given as:
    The first student is a girl, the second student is a boy, and the third student is a girl.
    The individual probability of each selection is:
    P(Girl) = 5/10
    P(Boy) = 5/9
    P(Girl) = 4/8
    The probability of the selection is then calculated as:
    P = 5/10 * 5/9 * 4/8
    Evaluate the product
    P = 5/36
    Hence, the probability that the first student is a girl, the second student is a boy, and the third student is a girl is 5/36
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