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19 Jul 2020, 05:51
Kudos
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A
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Difficulty:
5%
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Question Stats:
93% (01:00) correct
7%
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wrong
based on 86
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A pair of fair six-sided dice are rolled. The probability that the sum of the numbers rolled is 12 is what percent greater than the probability that the sum is 2?
A 0%
B 16 2/3%
C 25%
D 50%
E 100%
A 0%
B 16 2/3%
C 25%
D 50%
E 100%
19 Jul 2020, 06:39
Kudos
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The probability that the sum of the numbers rolled is 12
If a pair is rolled then we will have two values and their sum is 12.
Only favorable outcome is (6,6) [ 6 in both of them ]
Total Number of outcomes = \(6^2\) = 36
So, The probability that the sum of the numbers rolled is 12 =\( \frac{favorable Outcomes}{total Outcomes}\) =\(\frac{ 1}{ 36}\)
The probability that the sum is 2
Only favorable outcome is (1,1) [ 1 in both of them ]
Total Number of outcomes = \(6^2\) = 36
So, The probability that the sum of the numbers rolled is 2 =\( \frac{favorable Outcomes}{total Outcomes}\) =\(\frac{ 1}{ 36}\)
Since both are same so The probability that the sum of the numbers rolled is 12 is what percent greater than the probability that the sum is 2 will be 0%
So, Answer will be A
Hope it helps!
Playlist on Solved Problems on Probability here
Watch the following video to MASTER Dice Rolling Probability Problems
If a pair is rolled then we will have two values and their sum is 12.
Only favorable outcome is (6,6) [ 6 in both of them ]
Total Number of outcomes = \(6^2\) = 36
So, The probability that the sum of the numbers rolled is 12 =\( \frac{favorable Outcomes}{total Outcomes}\) =\(\frac{ 1}{ 36}\)
The probability that the sum is 2
Only favorable outcome is (1,1) [ 1 in both of them ]
Total Number of outcomes = \(6^2\) = 36
So, The probability that the sum of the numbers rolled is 2 =\( \frac{favorable Outcomes}{total Outcomes}\) =\(\frac{ 1}{ 36}\)
Since both are same so The probability that the sum of the numbers rolled is 12 is what percent greater than the probability that the sum is 2 will be 0%
So, Answer will be A
Hope it helps!
Playlist on Solved Problems on Probability here
Watch the following video to MASTER Dice Rolling Probability Problems
