Question

A fair die is rolled 4 times. What is the probability of having no 3 and no 4 among the rolls? Round your answer to three decimal places

Answer 1

Answer:

66.667%

Step-by-step explanation:

In a fair die, there are 6 possible rolls. Out of the 6, 1 number is chosen each time. Since order does not matter in this problem, we will be applying combination, so this would be written as 6C1 x 4. In order to exclude 3 and 4, from 6, the choices must be narrowed down to 4. Written out as an equation, this would be 4C1 x 4. To get the percentage, simply divide the two equations.

(4C1 x 4)/(6C1 x 4) = 0.66667 = 66.667%