Question

a pair of dice is thrown. what is the probability that they show a total of 6? select an answer 1/18 5/9 7/9 5/36

Explanation:

Step1: Find total number of outcomes

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

Step2: Find number of favorable outcomes

The combinations that give a sum of 6 are (1, 5), (2, 4), (3, 3), (4, 2), (5, 1), so there are 5 favorable outcomes.

Step3: Calculate probability

The probability $P$ of an event is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{5}{36}$.

Answer:

$\frac{5}{36}$