FINAL EXAM 7 2022/2023
A={14,15,16,17}
B={11,12,13,14,16,17,18,19,20}
A is a subset of B. True or False?
a. True
b. False False. This is a false statement. By definition, to be a subset of a set, every element of the subset
must be contained in the set. In this case, Set A contains 15, which Set B does not contain. Therefore A is
not a subset of set B.
A union of two sets is a collection of the elements listed in both of the sets.
True or False?
a. True
b. False False. This is a false statement. A union of two sets is a collection of all of the elements listed in
the sets.
In mathematics, a set is always a collection of numbers.
True or False?
a. True
b. False False. This is a false statement. In mathematics, a set is often, but not always, a collection of
numbers.
A={42,23,11,35,73,97,32,26,41,85,48,61,15}
, B={12,23,95,73,27,9,26,43,82,18,63,15,99}
The intersection of A and B is:
a. {23,26,27,73}
b. {15,23,61,73}
c. {15,23,26,73}
d. {15,26,48,73} Correct. The answer is c. An intersection of two sets is a collection of the elements listed
in both of the sets.
________________ _______________* is calculated as the number of ways one particular event can
occur in a random experiment, divided by the total number of possible outcomes: Theoretical
probability
If Bob likes the suits equally—that is, each morning he chooses one randomly—what is the probability
he will choose to wear blue? 0.6 or 60% see illustration
__________________ _________________* gathers data by performing multiple experiments, or trials,
and recording the results each time. Empirical probability
You examine the number of times a player hit a home run this season, divided by the number of at-bats
the player had. What is this an example of?
a) Theoretical Probability
b) Empirical Probability
c) The Law of Large Numbers
d) All of the above The answer is b. We are using the number of times an event occurred to
estimate the probability, therefore this is an example of empirical probability.
This set of possible outcomes in an experiment is called the ____________ ______________. The
sample space of flipping a coin is heads and tails. The sample space of rolling a regular six-sided die is 1,
2, 3, 4, 5, and 6. While the sample space is all the different outcomes, the __________ ________ is the
number of different outcomes. We need the sample space to determine the sample size, and we need
the sample size to calculate probability. The sample size of flipping a coin is 2; the sample size of rolling a
six-sided die is 6. 1. sample space*