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Probabiliy problem.

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MateusLima30
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Probabiliy problem. [#permalink] New post   29 Sep 2018, 15:04
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Hi guys! This question appeared on the Cracking the GRE 2019 premium version from Princeton Review. The book has a graphical explanation that did not convince me. Coud anyone provide me an insight on this? 

When a pair of six-sided dice, each with faces numbered 1 to 6, is rolled once, what is the probability that the result is either a 3 and a 4 or a 5 and a prime number? 
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chetan2u
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Re: Probabiliy problem. [#permalink] New post   18 Dec 2018, 09:11
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MateusLima30 wrote:
Hi guys! This question appeared on the Cracking the GRE 2019 premium version from Princeton Review. The book has a graphical explanation that did not convince me. Coud anyone provide me an insight on this? 

When a pair of six-sided dice, each with faces numbered 1 to 6, is rolled once, what is the probability that the result is either a 3 and a 4 or a 5 and a prime number? 



A pair of dice will have 6*6 or 36 ways.
you can get a 3 and 4 in two ways (3,4) or (4,3)
5 and a prime number ; (2,5) or (5,2) or (5,3) or (3,5) or (5,5)
total 7 ways...

Probability = 7/36
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Re: Probabiliy problem. [#permalink] New post   29 Sep 2018, 23:36
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Re: Probabiliy problem. [#permalink] New post   10 Oct 2018, 21:06
I found 2/3 is the answer. is it correct ?
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Re: Probabiliy problem. [#permalink] New post   18 Dec 2018, 08:05
Is it 2/3?
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Fatemeh
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Re: Probabiliy problem. [#permalink] New post   21 Dec 2018, 15:56
Faces of the six-sided dice: 1,2,3,4,5 and 6
The total possible ways: 6*6 = 36 (1,1)….(6,6)
The probability that the result is either a 3 and a 4 or a 5 and a prime number
either a 3 and a 4: (3,4) | (4,3)
5 and a prime number: (5,2), (5,3), (5,5), (2,5), (3,5)
So all the possible results with the conditions are 7.

The probability that the result is either a 3 and a 4 or a 5 and a prime number is :
7/ 36
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Re: Probabiliy problem. [#permalink] New post   17 Nov 2021, 16:27
it is rolled 2 times, I think that. So it would be 7/36
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Re: Probabiliy problem. [#permalink] New post   18 Nov 2021, 08:31
It is 7/36
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Re: Probabiliy problem. [#permalink] New post   18 Nov 2021, 19:57
P(A=3&4)=2/6*1/6=1/18

P(B=5&prime number)=5/36

P(A or B) = P(A) + P(B) - P(A&B)

It's 1/18+5/36-5/(18*36)=(36+5*18-5)/(18*36)=121/(18*12)


This excludes or both set. When or both set is included, the answer is 60%
MateusLima30 wrote:
Hi guys! This question appeared on the Cracking the GRE 2019 premium version from Princeton Review. The book has a graphical explanation that did not convince me. Coud anyone provide me an insight on this? 

When a pair of six-sided dice, each with faces numbered 1 to 6, is rolled once, what is the probability that the result is either a 3 and a 4 or a 5 and a prime number? 


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