Answer to Question #218609 in Statistics and Probability for cake

Question

Suppose you throw two fair dice. What is the probability of obtaining a 6 on each dice? Express your answer in 4 decimal places.

Answer 1

Number of ways to get

2 points - 1 way

3 points - 2 ways

4 points - 3 ways

5 points - 4 ways

6 points - 5 ways

7 points - 6 ways

8 points - 5 ways

9 points - 4 ways

10 points - 3 ways

11 points - 2 ways

12 points - 1 way

Total number of ways:

$N=36$

The probability of obtaining a 6 on each dice (12 points):

$P=1/36=0.0278$