Two dice are rolled. what is the probability of having both faces the same (doubles) or a total of 4? round to the nearest hundredth.

The probability is 0.25.

There are a total of 36 outcomes in the sample space for rolling 2 dice.

Out of these, there are 6 ways to get doubles (1 and 1, 2 and 2, 3 and 3, 4 and 4, 5 and 5, 6 and 6).

There are also 3 ways to get a total of 4:  1 and 3, 2 and 2, 3 and 1.

Together this gives us 9/36 = 0.25.