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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: user_5 on August 08, 2010, 08:47:55 pm

Title: Probability Help
Post by: user_5 on August 08, 2010, 08:47:55 pm
A die is weighted as follows:
Pr(2) = Pr(3) = Pr(4) = Pr(5) = 0.2
Pr(1) = Pr(6) = 0.1

The die is rolled twice, and the smaller of the numbers showing is noted. Let Y represent this value.

Find Pr(Y = 1)
Title: Re: Probability Help
Post by: the.watchman on August 08, 2010, 09:00:21 pm
Well I guess let's take the possibilities





So

On second thoughts, the probability is the same as getting a 1 on either roll:

Title: Re: Probability Help
Post by: pooshwaltzer on August 08, 2010, 09:06:24 pm
Pr(Y = 1) = 0.2 ... watchman, need to double your answer because 1 can be either on 1st roll or 2nd roll.

Title: Re: Probability Help
Post by: the.watchman on August 08, 2010, 09:21:13 pm
Pr(Y = 1) = 0.2 ... watchman, need to double your answer because 1 can be either on 1st roll or 2nd roll.



Oops, fixed :P
Title: Re: Probability Help
Post by: user_5 on August 08, 2010, 09:33:34 pm
Oh okay, thanks the.watchman.
I eventually figured out the answer, similar to your first approach before checking back here.
The book has the answer 0.19, so I'm assuming in this case, the first approach is required?
Title: Re: Probability Help
Post by: the.watchman on August 08, 2010, 09:37:32 pm
Oh okay, thanks the.watchman.
I eventually figured out the answer, similar to your first approach before checking back here.
The book has the answer 0.19, so I'm assuming in this case, the first approach is required?

Damnit, I had to change my above answer AGAIN because I forgot something
It should be 0.19, not 0.2 :P
Title: Re: Probability Help
Post by: pooshwaltzer on August 08, 2010, 09:46:25 pm
oh frak! not possible (1,1)...absence of coffee to blame...not gonna have any at this hour tho.