(12/04 & 05) CRM Unit 3: 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 is the formula for Conditional Probability?

Back

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

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 interpret P(A and B)?

Back

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

Front

What is the probability of rolling a 1 on a fair 6-sided die?

Back

1/6

Front

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

Back

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

Front

What is the complement of an event?

Back

The complement of an event A, denoted as A', is the event that A does not occur. The probability of the complement is P(A') = 1 - P(A).

Front

What is Bayes' Theorem?

Back

Bayes' Theorem relates the conditional and marginal probabilities of random events. It is expressed as P(A|B) = [P(B|A) * P(A)] / P(B).

Front

What is the probability of selecting a female who likes a Toyota if 60% of females like Toyotas?

Back

If 60% of females like Toyotas, then P(Female|Likes Toyota) = 0.6.

Front

What is the probability of being a sophomore who likes dogs best if 16 out of 25 sophomores prefer dogs?

Back

P(Sophomore|Likes Dogs) = 16/25.