Question 1210444
<pre>
Giving a test to a group of students, the grades and gender are summarized below

        A  B  C Total
Male   10  7 13   30
Female  3  5  8   16
Total  13 12 21   46
Write all solutions as a decimals to 4 places. If one student is chosen at 
random,
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Find the probability that the student was male:

Number of male students = 30
Total number of students = 46

P(Male) = 30/46 = 0.6522
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Find the probability that the student was male AND got a "C":

P(Male and C) = 13/46 = 0.2826
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Find the probability that the student was male OR got a "C":

P(Male OR C) = P(Male)+P(C)-P(Male AND C)
P(Male OR C) = 30/46 + 21/46 - 13/46 = 38/46 = 0.8261
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If one student is chosen at random, find the probability that the student got
a C' GIVEN they are male.

P(C|Male) = P(C AND Male)/P(Male) = {{{(13/46)/(30/46)=13/30 = 0.4333}}}

Edwin</pre>