Probability: Conditional, Independent and Dependent Events

Front

What is 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 Conditional Events?

Back

Conditional events are events where the outcome or occurrence of one event affects the outcome of another event.

Front

Define Independent Events.

Back

Independent events are events where the occurrence of one event does not affect the occurrence of another event.

Front

Define Dependent Events.

Back

Dependent events are events where the occurrence of one event affects the probability of the other event occurring.

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.

Front

What does P(A or B) represent?

Back

P(A or B) represents the probability that either event A occurs, event B occurs, or both events occur.

Front

What does P(A and B) represent?

Back

P(A and B) represents the probability that both events A and B occur simultaneously.

Front

How do you calculate the probability of independent events?

Back

For independent events A and B, P(A and B) = P(A) * P(B).

Front

What is the probability of drawing two limes from a bag containing 3 lemons and 2 limes without replacement?

Back

The probability is 1/10.

Front

If P(A) = 0.5 and P(B) = 0.3, what is P(A and B) if A and B are independent?

Back

P(A and B) = P(A) * P(B) = 0.5 * 0.3 = 0.15.