Question

A fair 6-sided die is rolled five times. What is the probability that the sequence of rolls is 3,4,1,2,6

Answer 1

Explanation:

probability = number of favorable outcomes/total number of outcomes

To find compound probability multiply all the probabilities together.

p(3) = 1/6

p(4) = 1/6

p(1) = 1/6

p(2) = 1/6

p(6) = 1/6

Multiply all of them together.

1/6 x 1/6 x 1/6 x 1/6 x 1/6 = 1/7,776

or

`((1)/(6) )^5 = (1)/(7,776)`