Question

section 5.1 homework
score: 8/17 answered: 9/17
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two dice are rolled. what is the probability of getting a sum equals 10?
probability = 0.648 × (round to 4 decimal places)
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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 10 are (4,6), (5,5), (6,4). So there are 3 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 $P=\frac{3}{36}=\frac{1}{12}\approx0.0833$.

Answer:

0.0833