Question

find the odds for rolling a 6 - sided die and getting a 3. to find the odds against rolling a 6 - sided die and getting a 3. to simplify your answers.

Explanation:

Step1: Define favorable and unfavorable outcomes

A 6 - sided die has 6 possible outcomes. The favorable outcome of getting a 3 is 1, and the unfavorable outcomes (not getting a 3) are 5.

Step2: Calculate odds for

The odds for an event is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. So, odds for getting a 3 is $1$ to $5$.

Step3: Calculate odds against

The odds against an event is the ratio of the number of unfavorable outcomes to the number of favorable outcomes. So, odds against getting a 3 is $5$ to $1$.

Answer:

Odds for: 1 to 5
Odds against: 5 to 1