Chapter 5 Probability Practice Test

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

Front

Define mutually exclusive events.

Back

Mutually exclusive events are events that cannot occur at the same time. If one event occurs, the other cannot.

Front

What are independent events in probability?

Back

Independent events are events where the occurrence of one event does not affect the probability of the other event occurring.

Front

How do you calculate the probability of an event given another event?

Back

Use the formula: P(A|B) = P(A and B) / P(B), where P(A|B) is the probability of A given B.

Front

What is the formula for the probability of the complement of an event?

Back

The probability of the complement of an event A is given by P(A') = 1 - P(A).

Front

If 45% of parents prefer Reese's Peanut Butter Cups, what is the probability that none of 4 randomly selected parents prefer it?

Back

P(none) = (1 - 0.45)^4 = 0.55^4 = 0.0915 or approximately 9%.

Front

What does it mean if two events are not mutually exclusive?

Back

If two events are not mutually exclusive, it means they can occur at the same time.

Front

In a class of 30 students, if 20 do homework regularly, what is the probability a randomly chosen student does not do homework?

Back

P(not doing homework) = (30 - 20) / 30 = 10/30 or 1/3.

Front

What is a simulation in probability?

Back

A simulation is a method used to model the behavior of a system or process by generating random samples.

Front

How do you find the probability of two independent events both occurring?

Back

Multiply their probabilities: P(A and B) = P(A) * P(B).