Question

a pair of dice is thrown. what is the probability that they show a total of 7? select an answer 1/6 5/9 5/36 7/9

Explanation:

Step1: Find total number of outcomes

Each die has 6 faces. When two dice are thrown, by the fundamental counting principle, 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 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 $P = \frac{6}{36}=\frac{1}{6}$.

Answer:

$\frac{1}{6}$