Conditional Probability Practice

Front

What is Conditional Probability?

Back

Conditional Probability is the probability of an event occurring given that another event has already occurred. It is denoted as P(A|B), which means the probability of A given B.

Front

What does P(A|B) represent?

Back

P(A|B) represents the probability of event A occurring given that event B has occurred.

Front

How do you calculate Conditional Probability?

Back

Conditional Probability is calculated using the formula: P(A|B) = P(A and B) / P(B), where P(A and B) is the probability of both events occurring.

Front

What is the probability of an event that is certain?

Back

The probability of an event that is certain is 1.

Front

What is the probability of an impossible event?

Back

The probability of an impossible event is 0.

Front

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

Back

If A and B are independent, P(A and B) = P(A) * P(B) = 0.5 * 0.3 = 0.15.

Front

What is the sample space in probability?

Back

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

Front

What is the probability of drawing a red card from a standard deck of cards?

Back

The probability of drawing a red card from a standard deck of 52 cards is 26/52 or 1/2.

Front

What is the probability of rolling a sum of 7 with two dice?

Back

The probability of rolling a sum of 7 with two dice is 6/36 or 1/6.

Front

What is the formula for total probability?

Back

The total probability formula states that P(A) = P(A|B)P(B) + P(A|B')P(B'), where B' is the complement of B.