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)