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# Select numbers a and b between 0 and 1 independently and at random, an

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
Select numbers a and b between 0 and 1 independently and at random, an  [#permalink]

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21 Mar 2019, 05:08
00:00

Difficulty:

95% (hard)

Question Stats:

20% (02:37) correct 80% (02:13) wrong based on 30 sessions

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Select numbers a and b between 0 and 1 independently and at random, and let c be their sum. Let A, B and C be the results when a, b and c, respectively, are rounded to the nearest integer. What is the probability that A + B = C?

(A) 1/4
(B) 1/3
(C) 1/2
(D) 2/3
(E) 3/4

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Intern
Joined: 07 Jan 2014
Posts: 13
Location: India
Re: Select numbers a and b between 0 and 1 independently and at random, an  [#permalink]

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03 Apr 2019, 03:56
We have following possibilities(without order) for A,B,C:
000 √
001 ×
011 √
111 ×
110 ×
101 √
100 ×
010 ×

Hence 3/4 probability for A+B=C

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Re: Select numbers a and b between 0 and 1 independently and at random, an   [#permalink] 03 Apr 2019, 03:56
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