Question

Find the reduced odds for and the reduced odds against the event of rolling a fair die and getting a 2, 4, or 5 odds for: to odds against: to

Answer 1

The odds FOR getting a 2, 4, 5:

There are 3 ways of getting a 2, 4, or 5.  There are also 3 ways of NOT getting a 2, 4, 5 (namely rolling a 1, 3, or 6).  That means the odds FOR would be 3:3 = 1:1.

There are 3 ways of NOT getting a 2, 4, or 5 (again rolling a 1, 3, or 6).  There are also 3 ways of getting a 2, 4, 5.  That means the odds AGAINST would be 3:3 = 1:1.