Question

Andrea rolls a number cube twice. She determines P(even, then odd) = . Which statements are accurate? Check all that apply.

Andrea’s solution is incorrect.
The total number of possible outcomes is 12.
The probability of each simple event is .
There are three possible outcomes on each number cube.
The probability of the compound event is less than the probability of either event occurring alone.
P(even, then odd) = P(odd, then even)

Answer 1

Checked (accurate):
- Andrea’s solution is incorrect. (The correct P(even then odd) = (3/6)(3/6) = 1/4, so any other value is wrong.)
- The probability of the compound event is less than the probability of either event occurring alone. (1/4 < 1/2.)
- P(even, then odd) = P(odd, then even). (Both = (1/2)(1/2) = 1/4.)

Not accurate:
- The total number of possible outcomes is 12. (There are 6×6 = 36 ordered outcomes.)
- The probability of each simple event is . (Each ordered outcome has probability 1/36; each single-roll outcome has probability 1/6.)
- There are three possible outcomes on each number cube. (There are 6 faces per cube.)