When you toss a standard die, you have six possible outcomes: 1, 2, 3, 4, 5, and 6. To find the odds against rolling a number greater than 4, we first need to identify how many outcomes are greater than 4.
The numbers greater than 4 on a die are 5 and 6. This gives us 2 favorable outcomes. That means there are also outcomes that are not greater than 4, which are 1, 2, 3, and 4. This totals to 4 outcomes.
To calculate the odds against rolling a number greater than 4, we can use the following formula:
Odds Against = Number of unfavorable outcomes : Number of favorable outcomes
Here, the number of unfavorable outcomes (not rolling a number greater than 4) is 4, and the number of favorable outcomes (rolling a number greater than 4) is 2.
Thus, the odds against rolling a number greater than 4 are:
Odds Against = 4 : 2
We can simplify this ratio by dividing both sides by 2, resulting in:
Odds Against = 2 : 1
In conclusion, the odds against rolling a number greater than 4 when you toss a die are 2 to 1.