Probability: Conditional, Independent and Dependent Events

Front

What is the definition of probability?

Back

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

Front

What are independent events in probability?

Back

Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other.

Front

What are dependent events in probability?

Back

Dependent events are two or more events where the occurrence of one event affects the occurrence of the other.

Front

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

Back

P(A and B) = P(A) * P(B) for independent events A and B.

Front

How do you calculate the probability of dependent events occurring together?

Back

P(A and B) = P(A) * P(B|A) for dependent events A and B.

Front

What is the sample space in probability?

Back

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

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.

Front

What is the probability of not getting a specific outcome when rolling a die?

Back

P(not getting a specific outcome) = 1 - P(getting that outcome).

Front

What does the shaded region in a Venn diagram represent?

Back

The shaded region represents the outcomes that satisfy the conditions specified, such as A or B.

Front

What is the formula for conditional probability?

Back

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