1. 25% of students are finance majors, 20% are international business majors, an
ID: 3053060 • Letter: 1
Question
1. 25% of students are finance majors, 20% are international business majors, and 3% are double majoring in both. What is the probability that a given student is a finance major, given that they are also an international business major?
2. The number of outcomes in the intersection of sets A and B is always ________ the number of outcomes in A and B independently.
a. greater than
b. greater than or equal to
c. less than
d. less than or equal to
e. equal to
3. Suppose event A represents the outcome of flipping 2 coins and getting one head and one tail, that is, A = {HT}. What is the complement of A?
4. Let event A represent flipping 2 coins and getting one head and one tail, i.e., A={HT}. What is the complement of A?
5. If event A is flipping a coin and getting heads, and B is flipping a coin and getting heads or tails, what is AUB?
Explanation / Answer
1) P(finance major | international business major) = P(finance major and international business major) / P(international business major)
= 0.03 / 0.2
= 0.15
2) Option-D) less than or equal to
3) Compliment of A = {HH, TT, TH}
4) Compliment of A = {HH, TT, TH}
5) AUB = {HH, HT}
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