A die tossed. Find the odds against a number greater than 3.
To find the odds against a number greater than 3, we need to calculate the ratio of unfavorable outcomes to favorable outcomes.
The die has 6 sides, numbered 1 to 6. The numbers greater than 3 are 4, 5, and 6, which are favorable outcomes.
The numbers less than or equal to 3 are 1, 2, and 3, which are the unfavorable outcomes.
Therefore, the ratio of unfavorable outcomes to favorable outcomes is 3:3, or simply 1:1.
Hence, the odds against rolling a number greater than 3 are 1 to 1.