Question

section 5.1 homework score: 8/17 answered: 8/17 question 9 two dice are rolled. what is the probability of getting a sum equals 7? probability = (round to 4 decimal places)

Explanation:

Step1: Find total number of outcomes

Each die has 6 faces. When two dice are rolled, the total number of outcomes is $6\times6 = 36$ by the multiplication - principle.

Step2: Find number of favorable outcomes

The pairs of numbers on the two dice that sum to 7 are: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). So there are 6 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 $P=\frac{6}{36}=\frac{1}{6}\approx0.1667$.

Answer:

$0.1667$