Extra Credit Review Problems

Front

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

Back

The probability of rolling an even number (2, 4, or 6) is 3/6 or 1/2.

Front

What is the probability of rolling an even number three times in a row on a six-sided die?

Back

The probability is (1/2) * (1/2) * (1/2) = 1/8.

Front

What are the criteria for triangle similarity?

Back

The criteria are AA (Angle-Angle), SAS (Side-Angle-Side), and SSS (Side-Side-Side).

Front

If two triangles have two pairs of equal angles, what can be concluded about them?

Back

They are similar by the AA criterion.

Front

If two triangles have two pairs of equal sides and the included angle is equal, what can be concluded about them?

Back

They are similar by the SAS criterion.

Front

If two triangles have all three pairs of equal sides, what can be concluded about them?

Back

They are similar by the SSS criterion.

Front

What is the probability of selecting two yellow marbles from a bag containing 9 green, 5 yellow, and 6 red marbles?

Back

The probability is 1/19.

Front

What does it mean for two events to be mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time.

Front

Are the events of picking a jack and picking a heart from a deck of cards mutually exclusive?

Back

No, they are not mutually exclusive because the jack of hearts is both a jack and a heart.

Front

What is the total number of marbles in a bag containing 9 green, 5 yellow, and 6 red marbles?

Back

The total number of marbles is 9 + 5 + 6 = 20.