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What is the probability of rolling two fair dice and having both dice [#permalink]
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What is the probability of rolling two fair dice and having both dice show distinct odd numbers?A. 1/36B. 1/12C. 1/6D. 1/2 E. 35/36 _________________
Senior Manager Joined: 21 Mar 2016 Posts: 464
Re: What is the probability of rolling two fair dice and having both dice [#permalink] odd numbers = 1,3,5two dice will give 3 x 3 = 9 combination of odd nos... butcombination of 2 same odd nos = (1,1) (3,3) (5,5)hence 9-3 =6prob = 6/36 = 1/6 ans 1/6
Manager Joined: 06 Dec 2016 Posts: 206
Re: What is the probability of rolling two fair dice and having both dice [#permalink] (1,3), (1,5), (3,5), (3,1), (5,1), (5,3)6 x 6 = 36 6/36 = 1/6 which is answer C
VP Joined: 07 Jan 2016 Posts: 1289 Location: United States (MO)
Re: What is the probability of rolling two fair dice and having both dice [#permalink] total possible 1 3 5 (3) and 1 3 5 (3) = 9cases excluded - 11 33 55 9-3 = 66/36 C _________________
Intern Joined: 29 Apr 2015 Posts: 19 GPA: 3.89
Re: What is the probability of rolling two fair dice and having both dice [#permalink] With the regard to the popular 1/6 answer, do you guys think it is problematic that you are counting both "1,3" and "3,1" as part of your 6 positive outcomes? Does sequence matter in a dice roll?
VP Joined: 07 Jan 2016 Posts: 1289 Location: United States (MO)
Re: What is the probability of rolling two fair dice and having both dice [#permalink]
ar500 wrote: With the regard to the popular 1/6 answer, do you guys think it is problematic that you are counting both "1,3" and "3,1" as part of your 6 positive outcomes? Does sequence matter in a dice roll? IMO , yes sequence matters 1st throw having a 1 on the dice can lead to six options on the second dice.Assume this situation In a Football (soccer) match , the final score is 3-1 now first player X of a team scores a hattrick , then in the dying minutes of the game , a player from the opposition scores a goal and makes it 3-1 now this score can be achieved in multiple ways and we notice that each way is differentI'm not the best person around here to explain it in a lucid way but i hope you got my pointRegards,HK _________________
Re: What is the probability of rolling two fair dice and having both dice [#permalink] The probability of one dice having odd side is 3/6=1/2. The same thing with the second dice. The probability of the second dice having distinct number is 2/3 (we have 3 possible numbers but only 2 that satisfy "distinct" condition).
GMAT Expert Joined: 16 Oct 2010 Posts: 12918 Location: Pune, India
Re: What is the probability of rolling two fair dice and having both dice [#permalink]
ar500 wrote: With the regard to the popular 1/6 answer, do you guys think it is problematic that you are counting both "1,3" and "3,1" as part of your 6 positive outcomes? Does sequence matter in a dice roll? Since the problem doesn't say that the dice are identical, think about them as two different coloured dice - one red and one yellow. A 1 on the red die and 3 on the yellow die is different from a 3 on the red die and 1 on the yellow die.So, there are 3 ways of getting an odd outcome on the red die and 2 ways of getting an odd outcome on the yellow die. In all there are 3*2 = 6 ways of satisfying the condition. Of course, total cases are 6*6 = 36Probability = 6/36 = 1/6 _________________
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Re: What is the probability of rolling two fair dice and having both dice [#permalink]
Bunuel wrote: What is the probability of rolling two fair dice and having both dice show distinct odd numbers?A. 1/36B. 1/12C. 1/6D. 1/2 E. 35/36 We need to determine the probability that the two dice show distinct odd numbers.Let’s start with die #1: There are 3 odd numbers, and thus the probability of rolling an odd number is 3/6 = 1/2. When rolling die #2, since we must roll a different odd number, the probability of doing so is 2/6 = 1/3.Thus, the probability is 1/2 x 1/3 = 1/6.Answer: C _________________
e-GMAT Representative Joined: 04 Jan 2015 Posts: 3760
What is the probability of rolling two fair dice and having both dice [#permalink]
Bunuel wrote: What is the probability of rolling two fair dice and having both dice show distinct odd numbers?A. 1/36B. 1/12C. 1/6D. 1/2 E. 35/36 Solution
o Thus, favorable cases of two dice showing distinct odd numbers \(= 3 * 2 = 6\) • Correct Answer is Option C. e-GMAT Aiming to score Q50 or higher in GMAT Quant? Attend this webinar on 2nd April to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes. Register
Manager Joined: 18 Jun 2017 Posts: 54
Re: What is the probability of rolling two fair dice and having both dice [#permalink] Distinct odd values from dice 1 can have 3 outcomes.Similarly from dice 2.Total 6 favorable outcomes from 2 dices. Total outcomes =36Probability of favorable outcomes=6/36=1/6 Option C.
Intern Joined: 17 Aug 2018 Posts: 19
Re: What is the probability of rolling two fair dice and having both dice [#permalink]
EgmatQuantExpert wrote: Bunuel wrote: What is the probability of rolling two fair dice and having both dice show distinct odd numbers?A. 1/36B. 1/12C. 1/6D. 1/2 E. 35/36 Solution
o Thus, favorable cases of two dice showing distinct odd numbers \(= 3 * 2 = 6\) • Correct Answer is Option C. e-GMAT Aiming to score Q50 or higher in GMAT Quant? Attend this webinar on 2nd April to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes. Register Hi E-GMAT Team, I request reference to your "Must Read Articles & Practice Questions to score 51". In the probability section one of the key takeaways you have emphasized upon is: "If there are more than one arrangements possible then we will find the probability of only one case and multiply it by the total number of possible arrangements".By that logic, no. of possible arrangements in the question under discussion are 6:1,3;1,5;3,5;3,1;5,1;5,3So shudn't the probability be be then:6*3/6*2/6=1I know i am not understanding it right. but cud u plzz guide me where??
Re: What is the probability of rolling two fair dice and having both dice [#permalink] 13 Aug 2019, 18:48 |
In rolling two fair dice the probability of getting equal number or number with an even product is
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