Two different colored dice are rolled simultaneously. What is the probability of getting a sum of at least 5?

To solve this problem, we need to understand the total number of outcomes when two dice are rolled and the number of outcomes that result in a sum of at least 5.

Step 1: Determine the total number of outcomes When two dice are rolled, each die has 6 faces. So, the total number of outcomes is 6*6 = 36.

Step 2: Determine the number of outcomes that result in a sum of at least 5 The pairs that sum to at least 5 are: (1,4), (1,5), (1,6), (2,3), (2,4), (2,5), (2,6), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6). That's a total of 30 pairs.

Step 3: Calculate the probability The probability of an event is the number of favorable outcomes divided by the total number of outcomes. So, the probability of getting a sum of at least 5 when two dice are rolled is 30/36 = 5/6.