THE PROBABILITY THAT THE TWO NUMBERS ARE DIFFERENT IS 30 CHANCES OVER 36 CHANCES.WHY? 1 2 3 4 5 6 1 1,1 2,1 3,1 4,1 5,1 6,1 2 1,2 2,2 3,2 4,2 5,2 6,2 3 1,3 2,3 3,3 4,3 5,3 6,3 4 1,4 2,4 3,4 4,4 5,4 6,4 5 1,5 2,5 3,5 4,5 5,5 6,5 6 1,6 2,6 3,6 4,5 5,6 6,6 THE ONLY POSSIBLE SAME NUMBERS ARE 1,1 , 2,2 , 3,3 , 4,4 , 5,5 , 6,6. DUNNO IF THIS RIGHT 'CAUSE I'M NOT AN EXPERT IN PROBABILITY PROBLEMS LIKE THIS BUT HOPE IT GIVES YOU AN IDEA. HOPE I HELP YOU.
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When two dice are rolled, what is the probability that the difference [#permalink]
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Question Stats: Hide Show timer StatisticsWhen two dice are rolled, what is the probability that the difference between the two numbers is 2?(A) 1/9(B) 2/9(C) 1/3(D) 2/3 (E) None of the above
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Re: When two dice are rolled, what is the probability that the difference [#permalink] We have 8 outcomes that satisfy the question: 1-32-4 3-1 or 3-54-2 or 4-65-36-4.For the first, second, fifth and sixth pairs the probability is (1/6*1/6)*4= 4/36. For fifth and sixth pairs probability is (1/6*2/6)*2=4/36, and the sum of all possibilities is 4/36+4/36=8/36=2/9 I think the answer is B
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Re: When two dice are rolled, what is the probability that the difference [#permalink] Hi AlexIV,Your work here is perfect, but it looks like you did a bunch of 'extra' math that wasn't necessary.When you roll two 6-sided dice, there are (6)(6) = 36 possible outcomes. Once you listed the 8 options that 'fit' what the question was looking for, all you had to do was reduce the fraction:8/36 = 2/9 Final Answer: GMAT assassins aren't born, they're made,Rich _________________
Intern Joined: 06 Feb 2016 Posts: 1
Re: When two dice are rolled, what is the probability that the difference [#permalink] I found it easiest to make a quick chart, it took about 1 minIf the top horizontal row is the first die and the first vertical row the second die then, the difference between the two is the result in the number chart.I just counted the 2s to avoid missing any and then since it is 6x6 for all possible outcomes, then 8/36 is the answer. Hence 2/9- 1234561 0123452 1012343 2101234 4210125 532101 6 643210
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Re: When two dice are rolled, what is the probability that the difference [#permalink] Hi cecammiade,That type of 'brute force' approach is perfect for certain types of questions on Test Day. As you've pointed out, it didn't take much time or effort to do the work and THAT is something to keep in mind as you're working through the entire GMAT. Most GMAT questions can be solve in a variety of ways, so sometimes you just have to put the pen on the pad and quickly 'map out' the solution. Your willingness to think in those terms likely means that you have a high potential to score well on Test Day.GMAT assassins aren't born, they're made,Rich _________________
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Re: When two dice are rolled, what is the probability that the difference [#permalink]
Bunuel wrote: When two dice are rolled, what is the probability that the difference between the two numbers is 2?(A) 1/9(B) 2/9(C) 1/3(D) 2/3 (E) None of the above Total Outcomes = 6*6 = 36Favorable outcomes = {1, 3}, {2, 4}, {3, 5}, {3, 1}, {4, 6}, {4, 2}, {5, 3}, {6, 4} = 8 cases Probability = Favorable Outcomes / Total Outcomes = 8/36 = 2/9Answer: Option B _________________
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Re: When two dice are rolled, what is the probability that the difference [#permalink] Probability = Favorable outcomes / Total outcomesPossible Favorable outcomes = (1,3) , (2,4) , (3,5) , (4,6) , (3,1) , (4,2) , (5,3) , (6,4)Number of possible outcomes = 8Total outcomes = 6 * 6 = 36Probability = \(\frac{8}{36}\) = \(\frac{2}{9}\) correct answer - B
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Re: When two dice are rolled, what is the probability that the difference [#permalink]
Bunuel wrote: When two dice are rolled, what is the probability that the difference between the two numbers is 2?(A) 1/9(B) 2/9(C) 1/3(D) 2/3 (E) None of the above There are a total of 6 x 6 = 36 possible outcomes when two dice are rolled. Of the 36 possible outcomes, there are 8 outcomes with a difference of 2: (1,3), (3,1), (2,4), (4,2), (3,5), (5,3), (4,6), (6,4). So, the probability of getting the difference of 2 is 8/36 = 2/9.Answer: B _________________
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Re: When two dice are rolled, what is the probability that the difference [#permalink] Hello from the GMAT Club BumpBot!Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________
Re: When two dice are rolled, what is the probability that the difference [#permalink] 16 Nov 2018, 07:28 |
When two dice are rolled, what is the probability that the two numbers are different
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