Question

Eight​-sided die is tossed. Determine the odds against rolling a 6.

Answer 1

The odds are 1:8 because there is only one side that contains a 6 and all of the others contain a different number. Only 1 side out of 8 sides contains a 6 so you have a 1 in 8 chance of rolling a six, or 1:8.

Answer 2

`(1)/(7)` or 1 to 7.

Explanation:

We are asked to find the odds against rolling a 6 on a eight​-sided die.

`\text{Odds}=(P)/(1-P)`, where p represents probability of an event.

We will find probability of getting 6 on an 8 sided die as:

`\text{Probability of getting 6}=(1)/(8)`

`\text{Odds}=((1)/(8))/(1-(1)/(8))`

`\text{Odds}=((1)/(8))/((8)/(8)-(1)/(8))`

`\text{Odds}=((1)/(8))/((8-1)/(8))`

`\text{Odds}=((1)/(8))/((7)/(8))`

`\text{Odds}=(1)/(8)* (8)/(7)`

`\text{Odds}=(1)/(7)`

Therefore, the odds against rolling a 6 is 1 to 7.