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07 Apr 2016, 08:35
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69% (02:46) correct
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Two numbers, X and Y, are to be chosen at random from the set of numbers A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. If it is assumed that {X = a, Y = b} is the same as the event {X = b, Y = a} for any numbers a and b in A, what is the probability that X^2 + Y^2 ≤ 27?
A. 13/90
B. 7/45
C. 17/90
D. 11/45
E. 23/90
A. 13/90
B. 7/45
C. 17/90
D. 11/45
E. 23/90
07 Apr 2016, 17:11
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Two numbers, X and Y, are to be chosen at random from the set of numbers A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. If it is assumed that {X = a, Y = b} is the same as the event {X = b, Y = a} for any numbers a and b in A, what is the probability that X^2 + Y^2 ≤ 27?
X^2 + Y^2 has to be ≤ 27
10! / 2!8!
there are 45 possible combinations in total
only pairs that result in a value of ≤ 27 include:
5,1
4,3
4,2
4,1
3,2
3,1
2,1
B. 7/45
X^2 + Y^2 has to be ≤ 27
10! / 2!8!
there are 45 possible combinations in total
only pairs that result in a value of ≤ 27 include:
5,1
4,3
4,2
4,1
3,2
3,1
2,1
B. 7/45
