6.3 and 6.4

Front

What is the definition of dependent events in probability?

Back

Dependent events are events where the outcome of one event affects the outcome of another event.

Front

What is the definition of independent events in probability?

Back

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

Front

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

Back

To calculate the probability of two dependent events A and B occurring, use the formula: P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given that A has occurred.

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|B) is the probability of A given B.

Front

If you have 17 chocolates (7 milk and 10 dark), what is the probability of picking a dark chocolate first?

Back

The probability of picking a dark chocolate first is 10/17.

Front

If you pick a dark chocolate first and then eat it, how do you find the probability of picking another dark chocolate?

Back

After eating one dark chocolate, there are now 16 chocolates left, with 9 being dark. The probability of picking another dark chocolate is 9/16.

Front

What is the combined probability of picking a dark chocolate both times?

Back

The combined probability is P(Dark 1st) * P(Dark 2nd|Dark 1st) = (10/17) * (9/16) = 90/272 = 5/17.

Front

What does P(Male | Full Time) represent in probability?

Back

P(Male | Full Time) represents the probability of a student being male given that they are a full-time student.

Front

How do you find the probability of an event given another event has occurred?

Back

Use the conditional probability formula: P(A|B) = P(A and B) / P(B).

Front

What is the probability of choosing a white shirt on Monday and a brown shirt on Tuesday if there are 14 shirts?

Back

Choosing a white shirt on Monday and a brown shirt on Tuesday are dependent events.