What is the probability of rolling a die 6 times and getting the numbers 1, 2, 3, 4, 5, 6 in that order? Select the best answer from the choices provided.

A. 0.001389

B. 0.000129

C. 0.000021

D. 0.0000038

C. 0.000021

Step-by-step explanation:

Each roll of the die is an independent event.

The probability of rolling a 1, then a 2, then a 3, then a 4, then a 5, then a 6 is the product of the 6 individual probabilities.

Probability of rolling a 1:

There are 6 possible outcomes, rolling 1, 2, 3, 4, 5, or 6.

There is one desired outcome, rolling a 1.

p (1) = 1/6

Probability of rolling a 2:

Similar to rolling a 1, there is 1 desired outcome, rolling a 2, out of 6 possible outcomes.

p (2) = 1/6

The same is true for rolling a 3, 4, 5, or 6. Each one has a probability of 1/6.

p (1, 2, 3, 4, 5, 6, in that order) = p (1) * p (2) * p (3) * p (4) * p (5) * p (6)

= (1/6) ^6

= 1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6

= 1/46,656

= 0.000021433

Answer: C. 0.000021