Vcaa 08 MC Q15

[tripz]

The sample space when a fair dice is rolled is {1, 2, 3, 4, 5, 6}, with each outcome being equally likely. For which of the following pairs of events are the events independent?

The answer is {1, 2} and {1, 3, 4, 6}

But why? The solutions didn't make much sense to me, I don't understand where they got

Let A = {1, 2} and B = {1, 3, 4, 6}
Pr (A) = 1/3    and Pr (B) = 1/2

where'd that 1/2 come from?

[Over9000]

The sample space when a fair dice is rolled is {1, 2, 3, 4, 5, 6}, with each outcome being equally likely. For which of the following pairs of events are the events independent?

The answer is {1, 2} and {1, 3, 4, 6}

But why? The solutions didn't make much sense to me, I don't understand where they got

Let A = {1, 2} and B = {1, 3, 4, 6}
Pr (A) = 1/3    and Pr (B) = 1/2

where'd that 1/2 come from?

No, wrong answer buddy. Its meant to be E,  A = {1, 2} and B = {2, 4, 6}
You misread?

[Over9000]

Get to bed anyway guys, it's really late!
Good luck!

No, sleep 3 am. Wake 10 am and leave 11 am. A good plan.

[tripz]

The sample space when a fair dice is rolled is {1, 2, 3, 4, 5, 6}, with each outcome being equally likely. For which of the following pairs of events are the events independent?

The answer is {1, 2} and {1, 3, 4, 6}

But why? The solutions didn't make much sense to me, I don't understand where they got

Let A = {1, 2} and B = {1, 3, 4, 6}
Pr (A) = 1/3    and Pr (B) = 1/2

where'd that 1/2 come from?

No, wrong answer buddy. Its meant to be E,  A = {1, 2} and B = {2, 4, 6}
You misread?

Yup.