EXTRA CREDITS - UNIT 5 KEY CONCEPTS

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 classical probability.

Back

Classical probability is the type of probability that is based on the assumption that all outcomes in a sample space are equally likely.

Front

What is empirical probability?

Back

Empirical probability is based on observed data and experiments rather than theoretical calculations.

Front

What is subjective probability?

Back

Subjective probability is based on personal judgment or opinion rather than on exact calculations or experiments.

Front

How do you calculate the probability of two independent events occurring?

Back

The probability of two independent events A and B occurring is calculated by multiplying their individual probabilities: P(A and B) = P(A) * P(B).

Front

What is the formula for the probability of the union of two events?

Back

The probability of the union of two events A and B is given by: P(A or B) = P(A) + P(B) - P(A and B).

Front

If a die is rolled, what is the probability of rolling an even number?

Back

The probability of rolling an even number (2, 4, or 6) on a die is 3/6 or 1/2.

Front

What is the total number of ways to choose 3 students from a class of 12?

Back

The total number of ways to choose 3 students from a class of 12 is calculated using combinations: C(12, 3) = 220.

Front

What is the probability of choosing a 5 or an even number from 1 to 10?

Back

The probability of choosing a 5 or an even number is 3/5.

Front

What does it mean if two events are mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time; the occurrence of one event excludes the occurrence of the other.