Question

Find the odds for and the odds against the event rolling a fair die and getting a 4 comma a 2 comma or a 3. a. The odds for the event are nothing to nothing. ​(Simplify your​ answers.) b. The odds against the event are nothing to nothing. ​(Simplify your​ answers.)

Answer 1

Odds for are 1 to 1.

Odds against are 1 to 1.

Explanation:

There are 6 numbers on a fair die so the probability of getting a 4, 2 or a 3 is 3/6 = 1/2.

So the odds for the event are 1 to 1.

The odds against is also 1 to 1 because the probability of getting one of the other 3 numbers is 1/2.

Answer 2

The probability of rolling a fair die and getting a 2, a 4, a 6 or a 3 is given by

(I attached a picture below for the problem)

Therefore, the odds for the event rolling a fair die and getting a 2, a 4, a 6, or a 3 is 2/3 and the odds against is 1 - 2/3 = 1/3