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Math Expert Joined: 02 Sep 2009 Posts: 86975 What is the probability of rolling three six-sided dice, and getting a [#permalink] 14 Apr 2015, 04:14
00:00 Question Stats: 81% (01:33) correct 19% (02:05) wrong based on 264 sessions Hide Show timer StatisticsWhat is the probability of rolling three six-sided dice, and getting a different number on each die? A. 1/12 Kudos for a correct solution. _________________ Math Expert Joined: 02 Sep 2009 Posts: 86975 What is the probability of rolling three six-sided dice, and getting a [#permalink] 20 Apr 2015, 05:26 Bunuel wrote: What is the probability of rolling three six-sided dice, and getting a different number on each die? A. 1/12 Kudos for a correct solution. MAGOOSH OFFICIAL SOLUTION For the first die, we can roll any one of six numbers. For the second die, we can roll any number save for the number we rolled on the first die, giving us 5 possibilities. For the third die, we can roll four different numbers (we can’t roll the number we rolled on the first or second die. 6 x 5 x 4 = 120 possibilities out of 216 total possibilities. (For total possibilities we get 6 x 6 x 6 = 216). 120/216 = 5/9 Answer: D. Senior Manager Joined: 21 Jan 2015 Posts: 439 Location: India Concentration: Strategy, Marketing GMAT 1: 620 Q48 V28 GMAT 2: 690 Q49 V35 WE:Sales (Consumer Products)
Re: What is the probability of rolling three six-sided dice, and getting a [#permalink] 14 Apr 2015, 04:29 three dices were rolled probability= favorable/total ans=(6*5*4)/(6*6*6)= 5/9 ans= D -------------------------------------------------------------------- Retired Moderator Joined: 30 Jul 2013 Status:On a mountain of skulls, in the castle of pain, I sit on a throne of blood. Posts: 264
Re: What is the probability of rolling three six-sided dice, and getting a [#permalink] 14 Apr 2015, 04:50 Bunuel wrote: What is the probability of rolling three six-sided dice, and getting a different number on each die? A. 1/12 Kudos for a correct solution. 6/6 * 5/6 * 4/6 Answer: D Manager Joined: 17 Mar 2015 Posts: 108 Re: What is the probability of rolling three six-sided dice, and getting a [#permalink] 14 Apr 2015, 08:26 odds of rolling number on 1 dice is 1/6 Manager Joined: 25 Feb 2014 Posts: 191
Re: What is the probability of rolling three six-sided dice, and getting a [#permalink] 14 Apr 2015, 09:04 1 Possible combinations with three different numbers on each die when three dies are rolled = 6*5*4 Divide 1 by 2 and we will get the probability = 6*5*4/6*6*6 = 5/9. Therefore ans is D. Manager Joined: 01 Jan 2015 Posts: 51 Re: What is the probability of rolling three six-sided dice, and getting a [#permalink] 14 Apr 2015, 09:21 Prob of rolling 1st die and getting any number(Lets say x) = 6/6 = 1 GMAT Tutor Joined: 05 Apr 2011 Status:Tutor - BrushMyQuant Posts: 1385 Location: India Concentration: Finance, Marketing GPA: 3 WE:Information Technology (Computer Software) Re: What is the probability of rolling three six-sided dice, and getting a [#permalink] 09 Oct 2022, 09:03 We need to find What is the probability of rolling three six-sided dice, and getting a different number on each die? As we are rolling three six-sided dice => Number of cases = \(6^3\) = 216 We need to get different number on each die => Total number of ways = 6 * 5 * 4 => Probability of getting a different number on each die = \(\frac{6 * 5 * 4}{6^3}\) = \(\frac{5}{9}\) So, Answer will be D Watch the following video to learn How to Solve Dice Rolling Probability Problems _________________ Re: What is the probability of rolling three six-sided dice, and getting a [#permalink] 09 Oct 2022, 09:03 Moderators: Senior Moderator - Masters Forum 3088 posts What is the probability of a dice rolling a 3?To understanding probability we take an example as rolling a dice: There are six possible outcomes—1, 2, 3, 4, 5, and 6. The probability of getting any of the numbers is 1/6. As the event is an equally likely event so the possibility of getting any number is the same in this case it is 1/6 or 50/3%.
How many ways can 3 dice of different colors be thrown at the same time?This approach yields a list of numbers. We can list all possible outcomes for the three dice and add a fourth column that contains a 0 if the event is not in A and contains a 1 if the event is in A. By simple counting, we find that there are 15 outcomes in event A, out of the total of 216 possible outcomes.
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