Probability of Events and Outcomes

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

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

Back

P(E) = Number of favorable outcomes / Total number of outcomes.

Front

What does it mean if the probability of an event is 0?

Back

It means that the event is impossible and will not occur.

Front

What does it mean if the probability of an event is 1?

Back

It means that the event is certain and will definitely occur.

Front

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

Back

P(A and B) = P(A) * P(B).

Front

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

Back

P(A or B) = P(A) + P(B) - P(A and B).

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

What is a favorable outcome?

Back

A favorable outcome is an outcome that satisfies the conditions of the event we are interested in.

Front

What is the difference between dependent and independent events?

Back

Independent events do not affect each other's outcomes, while dependent events do.

Front

If a die is rolled, what is the probability of rolling a number greater than 4?

Back

P(rolling > 4) = 2/6 = 1/3.