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Two dice are thrown at random, find out the probability of getting sam

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TheNightKing
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Two dice are thrown at random, find out the probability of getting sam [#permalink] New post   11 Jan 2020, 13:09
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Two dice are thrown at random, find out the probability of getting same digit in both dice?
(a) 5/6
(b) 2/3
(c) 1/3
(d) 1/2
(e) 1/6
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E
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tbhauer
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Re: Two dice are thrown at random, find out the probability of getting sam [#permalink] New post   13 Jan 2020, 15:16
Probability of rolling 1 number on both dice: 1/6 * 1/6 = 1/36
Since there are 6 numbers possible (two 1s, two 2s, etc), multiply by 6
1/36 * 6 = 6/36 = 1/6
Ans=E
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ShreyasJavahar
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Two dice are thrown at random, find out the probability of getting sam [#permalink] New post   19 Jan 2020, 05:21
TheNightKing wrote:
Two dice are thrown at random, find out the probability of getting same digit in both dice?
(a) 5/6
(b) 2/3
(c) 1/3
(d) 1/2
(e) 1/6



Probability of the first event : 1
The number could be anything from 1 to 6, but the fact is, the event is certainly going to occur and therefore the probability for the first event is 1.

Probability of rolling the second die and getting the number rolled the first time : 1/6

Combined probability of the two events : 1 * 1/6 = 1/6
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Re: Two dice are thrown at random, find out the probability of getting sam [#permalink] New post   19 Jan 2020, 12:17
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The first die doesn't matter, we just need the second die to match whatever number is on the first die, so the answer is 1/6.
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Re: Two dice are thrown at random, find out the probability of getting sam [#permalink] New post   05 Dec 2020, 18:42
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TheNightKing wrote:
Two dice are thrown at random, find out the probability of getting same digit in both dice?
(a) 5/6
(b) 2/3
(c) 1/3
(d) 1/2
(e) 1/6

Solution:

When two dice are thrown, there are a total of 6 x 6 = 36 outcomes. Of these 36 outcomes, only 6 have the same digits in both dice, namely (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), and (6, 6). Therefore, the probability of getting the same digit in both dice is 6/36 = 1/6.

Answer: E
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Re: Two dice are thrown at random, find out the probability of getting sam [#permalink] New post   09 Oct 2022, 09:46
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Given that Two dice are thrown at random and We need to find out the probability of getting same digit in both dice?

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

Getting the same number both times can happen in 6 ways
(1,1), (2,2) , (3,3), (4,4), (5,5), (6,6)

=> Probability of getting same digit in both dice = \(\frac{6}{36}\) = \(\frac{1}{6}\)

So, Answer will be E
Hope it helps!

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

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Re: Two dice are thrown at random, find out the probability of getting sam [#permalink]
09 Oct 2022, 09:46
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