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23 Nov 2016, 04:21
Kudos
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A pair of fair six sided dice is rolled .
The probability that the sum of the numbers rolled is 12 is what percent greater than the probability that sum is 2?
A 0%
B 16 2/3%
C 25%
D 50%
E 100%
OA A[color=#000000][/color]
The probability that the sum of the numbers rolled is 12 is what percent greater than the probability that sum is 2?
A 0%
B 16 2/3%
C 25%
D 50%
E 100%
OA A[color=#000000][/color]
23 Nov 2016, 17:26
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kaushalik
A pair of fair six sided dice is rolled .
The probability that the sum of the numbers rolled is 12 is what percent greater than the probability that sum is 2?
A 0%
B 16 2/3%
C 25%
D 50%
E 100%
OA A[color=#000000][/color]
Dear kaushalik, The probability that the sum of the numbers rolled is 12 is what percent greater than the probability that sum is 2?
A 0%
B 16 2/3%
C 25%
D 50%
E 100%
OA A[color=#000000][/color]
I'm happy to respond.
My friend, I see that you are relatively new to GMAT Club. Unfortunately, this question was posted in the wrong place. You see, the "Ask GMAT Experts" forum is designed for general information about the logistics of the GMAT (interpreting score reports, studying for retakes, best prep material, etc.) Anything concerning the content of the test, math or verbal, should be posted in the relevant content forum. This question should have been posted in the Problem Solving subforum.
Also, it's an excellent idea to search for any math question before you posted it. I don't know whether you did that: I searched and could not find another posting of this question. In the future, please never start a new thread unless you are sure that the question has never been posted before; always add your question to a pre-existing thread where a question has already been discussed. Almost every official math question has already been posted.
I am not sure of the source of this question. As a general courtesy, it's very helpful to specify the source of any question you post.
OK, having said that, let's look at the question.
Think about it this way. Let's say that one of the dice is a green die and the other is a purple die, just so we have a way of distinguishing them. There are six possibilities for the green die, and six more for the purple die, so there are 6 x 6 = 36 different possible pairs. That's the space of all possible pairs that could result when we toss the two dice.
How many ways can I get a 2? There's only one way: I have to get a 1 on the green die and and a 1 on the purple die. There's not other pair that will produce a sum of 2. Thus, the probability of getting a 2 is 1/36.
How many ways can I get a 12? Again, there's only one way: I have to get a 6 on the green die and and a 6 on the purple die. There's not other pair that will produce a sum of 12. Again, the probability of getting a 12 is 1/36.
These two outcomes have exactly the same probability. If two quantities have the same value, then each one is 0% greater than the other.
Answer = (A)
Does all this make sense?
Mike
