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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: tripz on November 09, 2009, 01:07:44 am

Title: Vcaa 08 MC Q15
Post by: tripz on November 09, 2009, 01:07:44 am
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?
Title: Re: Vcaa 08 MC Q15
Post by: Over9000 on November 09, 2009, 01:17:44 am
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?
Title: Re: Vcaa 08 MC Q15
Post by: Over9000 on November 09, 2009, 01:20:43 am
Get to bed anyway guys, it's really late!
Good luck! :D
No, sleep 3 am. Wake 10 am and leave 11 am. A good plan.
Title: Re: Vcaa 08 MC Q15
Post by: tripz on November 09, 2009, 10:09:55 am
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.