A fair 6 sided die is rolled five times. What is the probability that the sequence of rolls is 4,6,1, 5, 3?

Probability = 1/7776

Step-by-step explanation:

We know that probability is given by:

Probability = No. of Desirable outcomes / Total no. of outcomes.

If a die is rolled 5 time, we need to find the probability that the sequence of rolls is 4, 6, 1, 5, 3.

If a die is rolled first time, the probability that it will get 4 is:

Probability (4) = 1/6

Similarly if a die is rolled second time, the probability that it will get a 6 is:

Probability (6) = 1/6

Similarly the probability of each number on each roll is 1/6

To find the collective probability of 5 rolls, we'll multiply all the 5 probabilities to get the answer.

Probability = P (4) · P (6) · P (1) · P (5) · P (3)

Probability = 1/6 · 1/6 · 1/6 · 1/6 · 1/6

Probability = 1/7776