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10 December, 02:33

A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of the class are

girls and scored an A on the test.

If a student is chosen at random and is found to be a girl, the probability that the student scored an Ais

+1
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  1. 10 December, 02:59
    0
    Step-by-step explanation:

    Probability of event A on the condition of event B is:

    P (A|B) = P (A and B) / P (B)

    P (scored an A | girl) = P (scored an A and girl) / P (girl)

    P (scored an A | girl) = 0.35 / 0.45

    P (scored an A | girl) = 0.778

    The probability that a randomly selected girl also scored an A is 77.8%.
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