Find the odds for and the odds against the event rolling a fair die and getting a 2, a 4, a 6, or a 3.

the odds for the event are to
the odds against the event are to

The odds for the event are 2 to 1

The odds against the event are 1 to 2.

Step-by-step explanation:

Let A be the event of rolling a fair die and getting a 2, a 4, a 6, or a 3.

Total number of outcomes = 6

Favorable outcomes = 4

Unfavorable outcomes = 6 - 4 = 2

Odds in favor for given event is

Odds against for given event is

The odds for the event are 2 to 1

The odds against the event are 1 to 2.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get