What is the probability that rolling two identical dice together will

Question

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

sahilvijay · Answer

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

spetznaz · Answer

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 !

chetan2u · Answer

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

spetznaz · Answer

Thank you sir

ScottTargetTestPrep · Answer

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

TRINA6 · Answer

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

pialmahbub · Answer

They didn't say here any order like 1st one 3 and 2nd one 4.
If said so then ans would be 1/36

BrushMyQuant · Answer

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!

Playlist on Solved Problems on Probability  here

Watch the following video to MASTER Dice Rolling Probability Problems

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What is the probability that rolling two identical dice together will

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