a
2 In a class of 20 students, 12 study biology,
15 study history and 2 students study
neither biology nor history.
a Find the probability that a student selected
at random from this class studies both
biology and history.
b Given that a randomly selected student
studies biology, find the probability that
this student also studies history.
c In an experiment, a student is selected at
random from this class and the student's
course choices are noted. If the experi-
ment is repeated 60 times, find the
expected number of times a student who
studies both biology and history is chosen.
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a
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