An experiment consists of rolling a standard six-sided die once. Event A is "rolling an even number" and event B is "rolling a 2."

Are the events dependent or independent? Why?

Select the option that correctly answers both questions.

Events A and B are independent, because P(B)=P(B|A)=1/6.

Events A and B are dependent, because P(A)≠P(B|A).

Events A and B are independent, because P(A)=P(B|A)=1/2.

Events A and B are dependent, because P(B)≠P(B|A).

(D)Events A and B are dependent, because P(B)≠P(B|A).

Step-by-step explanation:

Definition: Two events are independent if

An experiment consists of rolling a standard six-sided die once.

Event A is "rolling an even number"

Even numbers are 2,4 and 6

Event B is "rolling a 2."

Substitution into

Left Hand Side =1/6

Right Hand Side =(1/6)÷(1/2)=1/3

Since , therefore which makes the events dependent.

(−$11) ⋅ 12

deductions are negative and there are 12 months in a year