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1. A survey of 1000 students at a college found that 60% of
them were enrolled in a math course, 40% were enrolled in
a science course, and 20% were enrolled in both. What is
the probability that a randomly selected student from the
college is enrolled in neither a math nor a science course?
A) 0.2
B) 0.3
C) 0.4
D) 0.5
Answer: C) 0.4
Rationale: The probability of being enrolled in neither a
math nor a science course is equal to 1 minus the
probability of being enrolled in either a math or a science
course. Using the formula for the probability of the union
of two events, we get P(math or science) = P(math) +
P(science) - P(math and science) = 0.6 + 0.4 - 0.2 = 0.8.
Therefore, P(neither math nor science) = 1 - 0.8 = 0.4.
2. A function f(x) is defined as f(x) = x^2 + 2x - 3 for all
real numbers x. What is the value of f(-1)?
A) -6
B) -4
C) -2
D) 0
Answer: B) -4
Rationale: To find the value of f(-1), we simply substitute x
= -1 into the function definition and simplify. We get f(-1)ÂÂ
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