To determine the odds of rolling a number that is not a 4 on a six-sided die, let's break down the problem step by step:
1. Identify the total number of outcomes:
Since we are using a standard six-sided die, there are a total of 6 possible outcomes (1, 2, 3, 4, 5, and 6).
2. Identify the unfavorable outcome:
There is 1 unfavorable outcome because there is only one face on the die that shows the number 4.
3. Calculate the number of favorable outcomes:
The favorable outcomes are the ones that are not 4. These are: 1, 2, 3, 5, and 6.
Therefore, there are 6 total outcomes minus the 1 unfavorable outcome (the number 4), resulting in 6 - 1 = 5 favorable outcomes.
4. Calculate the odds in favor:
The odds in favor of an event is the ratio of the number of favorable outcomes to the number of unfavorable outcomes.
Thus, the odds of rolling a number that is not a 4 are given by the ratio of favorable outcomes to unfavorable outcomes, which is 5 (favorable outcomes) to 1 (unfavorable outcome). Hence, the odds in favor are 5:1.
Therefore, the odds of rolling a number that is not a 4 on a six-sided die are 5 to 1.
