APS Warm Up - Tree Diagrams 12-13-24

Front

What are mutually exclusive events?

Back

Events that cannot occur at the same time. For example, when flipping a coin, getting heads and tails are mutually exclusive.

Front

What are independent events?

Back

Events where the occurrence of one event does not affect the occurrence of another. For example, rolling a die and flipping a coin are independent events.

Front

True or False: Mutually exclusive events are also independent events.

Back

False

Front

What is the probability of rolling an even number on a die?

Back

3/6 or 1/2, since there are three even numbers (2, 4, 6) out of six possible outcomes.

Front

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

Back

3/6 or 1/2, since there are three odd numbers (1, 3, 5) out of six possible outcomes.

Front

If two dice are rolled, what is the probability that one die shows an even number and the other shows an odd number?

Back

1/2

Front

What is the probability that only one of two independent events occurs?

Back

P(A) * (1 - P(B)) + (1 - P(A)) * P(B) where A and B are the two events.

Front

If the probability of passing a driving test is 0.6, what is the probability of failing?

Back

0.4

Front

What is the probability that Jim passes the driving test and Sue fails?

Back

P(Jim passes) * P(Sue fails) = 0.6 * 0.4 = 0.24.

Front

If Jane plays two games of chess, what is the probability that she wins both games if the probability of winning one game is 0.2?

Back

0.2 * 0.2 = 0.04.