James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.Bring lunch: 46 males, 254 femalesBuy lunch: 176 males, 264 females
Answer
A
P(buys lunch | male) = P(male) = 0.4.
B
P(male | buys lunch) = P(male) = 0.3.
C
P(buys lunch | male) = 0.3 and P(male) = 0.4.
D
P(male | buys lunch) = 0.4 and P(male) = 0.3.
Explanation
There are 222 males in total (46 + 176) and 740 people surveyed altogether, so P(male) = 222/740 = 0.3. Of the 440 people who buy lunch (176 + 264), 176 are male, so P(male | buys lunch) = 176/440 = 0.4. Therefore, choice D is correct.
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