Question

Sarah is rolling a number cube, numbered 1-6, and recording the number that shows up on each roll.

Event A describes the probability of getting a 4 on the first roll.
Event B describes the probability of getting a 4 on the second roll.
Which statement correctly explains whether the events A and B are dependent or independent?



Question 1 options:



A. A and B are dependent events, because the probability of the first roll will affect the probability of the second roll.


B. A and B are independent events, because the probability of the first roll will affect the probability of the second roll.


C. A and B are independent events, because the probability of the first roll will not affect the probability of the second roll.


D. A and B are dependent events, because the probability of the first roll will not affect the probability of the second roll.

Answer 1

C

Explanation:

Definition: Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.

Event A = getting a 4 on the first roll.

Event B = getting a 4 on the second roll.

True option C: A and B are independent events, because the probability of the first roll will not affect the probability of the second roll.