A die is tossed. Find the odds against rolling a number greater than 4.

Solution:

We know that there are 6 sides to the die.

On rolling a die, 5 and 6 are the only options that are greater than 4.

The sample space is {1,2,3,4,5,6}. n(S) = 6

We have 1/6 chance of rolling any given number.

∴ The favourable chances of rolling 5 and 6 = 2, 

1/6 + 1/6

= 2/6

= 1/3

A die is tossed. Find the odds against rolling a number greater than 4.

Summary:

When a die is tossed, the odds against rolling a number greater than 4 is 1/3.