Question

question 7 of 10
you roll two number cubes.
let event a = you roll an even number on the first cube.
let event b = you roll a 6 on the second cube.
are the events independent or dependent? why?
a. independent, because the outcome of the first roll doesnt affect
the outcome of the second roll.
b. dependent, because 6 is an even number.
c. dependent, because both cubes have six sides.
d. independent, because they have no outcomes in common.

Explanation:

Two events are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. When rolling two number cubes, the result of the first cube (event \(A\)) has no impact on the result of the second cube (event \(B\)). Whether the first cube shows an even number or not, the probability of rolling a \(6\) on the second cube remains \(\frac{1}{6}\). So, event \(A\) and event \(B\) are independent.

Answer:

A. Independent, because the outcome of the first roll doesn't affect the outcome of the second roll.