Question

two dice are rolled. what is the probability of getting a sum equals 5?
probability = (round to 4 decimal places)

Explanation:

Step1: Find total number of outcomes

When two dice are rolled, each die has 6 possible outcomes. So the total number of outcomes is $6\times6 = 36$.

Step2: Find number of favorable outcomes

The pairs of numbers on the two - dice that sum to 5 are (1,4), (2,3), (3,2), (4,1). So there are 4 favorable outcomes.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P=\frac{4}{36}=\frac{1}{9}\approx0.1111$.

Answer:

$0.1111$