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Updated on: 10 Dec 2017, 23:19
Originally posted by MathRevolution on 01 Dec 2017, 01:13.
Last edited by MathRevolution on 10 Dec 2017, 23:19, edited 1 time in total.
Last edited by MathRevolution on 10 Dec 2017, 23:19, edited 1 time in total.
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
82% (01:14) correct
18%
(01:24)
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based on 174
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[GMAT math practice question]
When 2 fair dice are tossed, what is the probability that the difference between the 2 numbers that land face up will be 3?
A. \(\frac{1}{6}\)
B. \(\frac{1}{3}\)
C. \(\frac{1}{2}\)
D.\(\frac{2}{3}\)
E. \(\frac{5}{6}\)
When 2 fair dice are tossed, what is the probability that the difference between the 2 numbers that land face up will be 3?
A. \(\frac{1}{6}\)
B. \(\frac{1}{3}\)
C. \(\frac{1}{2}\)
D.\(\frac{2}{3}\)
E. \(\frac{5}{6}\)
01 Dec 2017, 09:09
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MathRevolution
[GMAT math practice question]
10/ (probability) When 2 fair dice are tossed, what is the probability that the difference between the 2 numbers that land face up will be 3?
A. \(\frac{1}{6}\)
B. \(\frac{1}{3}\)
C. \(\frac{1}{2}\)
D.\(\frac{2}{3}\)
E. \(\frac{5}{6}\)
10/ (probability) When 2 fair dice are tossed, what is the probability that the difference between the 2 numbers that land face up will be 3?
A. \(\frac{1}{6}\)
B. \(\frac{1}{3}\)
C. \(\frac{1}{2}\)
D.\(\frac{2}{3}\)
E. \(\frac{5}{6}\)
number of pairs that yield a difference of \(3\) are {1,4}, {2,5}, {3,6}, {4,1}, {5,2}, {6,3} \(= 6\)
probability for getting any one pair for e.g {1,4} \(= \frac{1}{6}*\frac{1}{6}\)
since there are 6 such pairs, hence probability will be \(= \frac{1}{6}*\frac{1}{6}*6 =\frac{1}{6}\)
Option A
03 Dec 2017, 18:42
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=>
6 pairs of numbers with this property can appear on the dice: (1,4), (4,1), (2,5), (5,2), (3,6) and (6,3). The total number of outcomes from rolling two dice is 36.
Thus, the probability that the two numbers will have a difference of 3 is \(\frac{6}{36} = \frac{1}{6}\).
Therefore, the answer is A.
Answer : A
6 pairs of numbers with this property can appear on the dice: (1,4), (4,1), (2,5), (5,2), (3,6) and (6,3). The total number of outcomes from rolling two dice is 36.
Thus, the probability that the two numbers will have a difference of 3 is \(\frac{6}{36} = \frac{1}{6}\).
Therefore, the answer is A.
Answer : A
