9.5 Independent and Dependent Events

Front

What is the definition of independent events in probability?

Back

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

Front

What is the definition of dependent events in probability?

Back

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

Front

What is the probability of drawing a 9 four times in a row from a standard deck of 52 cards without replacement?

Back

1/270,725

Front

If there are 4 white marbles, 6 red marbles, and 2 blue marbles, what is the probability of selecting 2 blue marbles without replacement?

Back

1/66

Front

What is the probability of drawing a 2 and then a 3 from a standard deck of 52 cards without replacement?

Back

4/663

Front

What is the probability of drawing one ace after another ace from a standard deck of 52 cards without replacement?

Back

1/221

Front

What is the probability of rolling an odd number on a number cube twice?

Back

1/4

Front

How do you calculate the probability of independent events?

Back

For independent events, multiply the probabilities of each event. P(A and B) = P(A) * P(B).

Front

How do you calculate the probability of dependent events?

Back

For dependent events, multiply the probability of the first event by the probability of the second event given that the first has occurred. P(A and B) = P(A) * P(B|A).

Front

What is the total number of outcomes when rolling a number cube?

Back

6 outcomes (1, 2, 3, 4, 5, 6).