The complement rule states that the probability of an event occurring is equal to one minus the probability of it not occurring.

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TrueComplement rule P(A) = 1 − P(~A), If P(A) and P(~A) are complements, then P(A) = 1 − P(~A) and P(~A) = 1 − P(A).

TrueFor two independent events (A and B), the probability that A and B will both occur is found by multiplying the two probabilities. This is the special rule of multiplication.

The probability of rolling a 3 or 2 on a single roll of a die is an example of mutually exclusive events.

TrueThis is mutually exclusive as you cannot roll both 2 and 3 at the same time. Only one of these events can happen on a single roll of a die.

An individual can assign a subjective probability to an event based on whatever information is available.

TrueWhen an individual evaluates the available opinions and information and then estimates or assigns the probability. This probability is called subjective probability.

FalseThis is an example of classical probability. Classical probability is based on the assumption that the outcomes of an experiment (e.g. rolling a die) are equally likely. Conditional probability is the probability of a particular event occurring, given that another event has occurred (covered under LO5-4).

TrueA joint probability measures the chance that two or more events can happen at the same time. If the events are mutually exclusive, the joint probability is zero.

The joint probability of two events, A and B, that are NOT independent is computed as P(A and B) = P(A) × P(B|A).

TrueGeneral rule of multiplication P(A and B) = P(A)P(B|A).For two events, A and B, that are not independent, the conditional probability is represented as P(B|A), and expressed as the probability of B given A.

For a selected group of objects, there are as many combinations as there are different ways in which to order those objects.

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FalseOrder of objects is not important for combinations. The same set of objects in any order is just one combination. This is in contrast to permutations, where each different ordering of the same objects is a separate permutation.