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27 June, 00:51

Q. The probability that a student passes a statistics test is 2/3 and the

probability that he passes both statistics and mathematics is

14/45. The probability that he passes at least one test is 4/5. What

is the probability that the student passes the mathematics test?

+3
Answers (1)
  1. 27 June, 01:03
    0
    4/9 or 44.44%

    Step-by-step explanation:

    We have the following probabilities:

    Probability of winning the statistical test = P (s) = 2/3

    Probability of winning the mathematics and statistics test = P (s n m) = 14/45

    Probability of winning at least one test = P (s u m) = 4/5

    We have that, the probability of winning the mathematics test P (m) can be found in the following way:

    P (s n m) = P (s) + P (m) - P (s u m)

    replacing we have:

    14/45 = 2/3 + P (m) - 4/5

    P (m) = 14/45 - 2/3 + 4/5

    p (m) = 4/9 = 0.444

    Which is the same as there is a 44.44% probability that I will win the math test
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