A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than 5 ? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer
How to enter your answer (opens in new window)

Step 1 ：Understand the concept of probability. The probability of an event is the number of ways that event can occur divided by the total number of outcomes.

Step 2 ：In this case, we are rolling two six-sided dice, so there are a total of \(6*6 = 36\) possible outcomes.

Step 3 ：The event we are interested in is rolling a sum less than 5. This can occur in the following ways: (1,1), (1,2), (1,3), (2,1), (2,2), (3,1). So there are 6 ways this event can occur.

Step 4 ：Therefore, the probability is \(\frac{6}{36} = \frac{1}{6}\).

Step 5 ：Final Answer: The probability of rolling a sum less than 5 when rolling a standard pair of six-sided dice is \(\boxed{0.1667}\).