Answer:
C. 0.000021
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