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What is the probability that rolling two identical dice together will

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Bunuel
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What is the probability that rolling two identical dice together will [#permalink] New post   28 Jan 2018, 23:29
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What is the probability that rolling two identical dice together will result in a 3 and a 4?

A. 1/36
B. 1/30
C. 1/18
D. 1/12
E. 1/3
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C
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sahilvijay
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Re: What is the probability that rolling two identical dice together will [#permalink] New post   29 Jan 2018, 04:01
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Bunuel wrote:
What is the probability that rolling two identical dice together will result in a 3 and a 4?

A. 1/36
B. 1/30
C. 1/18
D. 1/12
E. 1/3




total outcomes = 36
possible outcomes => 3 on first and 4 on second dice or 4on first and 3 on second dice => 2
therefore

P reqd = 2/36 = 1/18 Option C
IMO C
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Re: What is the probability that rolling two identical dice together will [#permalink] New post   13 Apr 2018, 04:48
A small doubt here - The question says that the 2 dice are identical. So should the order matter here ?

I thought it should 1/36 ?

Experts , plz help !
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chetan2u
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Re: What is the probability that rolling two identical dice together will [#permalink] New post   13 Apr 2018, 04:57
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spetznaz wrote:
A small doubt here - The question says that the 2 dice are identical. So should the order matter here ?

I thought it should 1/36 ?

Experts , plz help !



Hi it depends how are you taking the denominator...
Here you are taking 6*6 so which you pick up matters..
Therefore 3,4 will be different from 4,3..
2/(6*6)=1/18..

Say you took as order does not matter..
6*6/2=18
And 3,4 in one way..so 1/18
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Re: What is the probability that rolling two identical dice together will [#permalink] New post   13 Apr 2018, 05:12
chetan2u wrote:
spetznaz wrote:
A small doubt here - The question says that the 2 dice are identical. So should the order matter here ?

I thought it should 1/36 ?

Experts , plz help !



Hi it depends how are you taking the denominator...
Here you are taking 6*6 so which you pick up matters..
Therefore 3,4 will be different from 4,3..
2/(6*6)=1/18..

Say you took as order does not matter..
6*6/2=18
And 3,4 in one way..so 1/18


Thank you sir :)
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Re: What is the probability that rolling two identical dice together will [#permalink] New post   16 Apr 2018, 17:07
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Bunuel wrote:
What is the probability that rolling two identical dice together will result in a 3 and a 4?

A. 1/36
B. 1/30
C. 1/18
D. 1/12
E. 1/3


So we can roll a 3 on the first die and 4 on the second or vice versa.

Thus, the probability of rolling a 3 and 4 is 1/6 x 1/6 + 1/6 x 1/6 = 1/36 + 1/36 = 2/36 = 1/18.

Alternate Solution:

There are 36 possible rolls of two dice. There are two ways of obtaining a 3 and a 4: either (3, 4) or (4,3). Thus, there are 2 favorable outcomes out of 36 favorable, and so the probability is 2/36 = 1/18.

Answer: C
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Re: What is the probability that rolling two identical dice together will [#permalink] New post   23 Sep 2018, 08:17
spetznaz wrote:
A small doubt here - The question says that the 2 dice are identical. So should the order matter here ?

I thought it should 1/36 ?

Experts , plz help !




You can roll 2-dice at the same time; you are expecting to get #3 and #4.

In 2 possible ways to get this outcome:

1st possible outcome: Dice1 with #3 and Dice2 with #4
probabilities 1/6 and 1/6
total prob. is 1/6* 1/6= 1/36

2nd possible outcome: Dice1 with #4 and Dice2 with #3
probabilities 1/6 and 1/6
total prob. is 1/6* 1/6= 1/36

Now add the total number of possibilities: 1/36 + 1/36= 2/36 or 1/18

Hope this helps :)
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Re: What is the probability that rolling two identical dice together will [#permalink] New post   27 Jun 2020, 06:10
chetan2u wrote:
spetznaz wrote:
A small doubt here - The question says that the 2 dice are identical. So should the order matter here ?

I thought it should 1/36 ?

Experts , plz help !



They didn't say here any order like 1st one 3 and 2nd one 4.
If said so then ans would be 1/36
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Re: What is the probability that rolling two identical dice together will [#permalink] New post   08 Oct 2022, 10:09
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We need to find What is the probability that rolling two identical dice together will result in a 3 and a 4?

As we are rolling two dice => Number of cases = \(6^2\) = 36

Lets start listing down the cases when rolling two identical dice together will result in a 3 and a 4. Following are the possible cases
(3,4) and (4,3)

=> 2 cases

=> Probability that rolling two identical dice together will result in a 3 and a 4 = \(\frac{2}{36}\) = \(\frac{1}{18}\)

So, Answer will be C
Hope it helps!

Watch the following video to learn How to Solve Dice Rolling Probability Problems

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Re: What is the probability that rolling two identical dice together will [#permalink]
08 Oct 2022, 10:09
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