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21 Aug 2021, 04:44
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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:
55%
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Question Stats:
61% (01:59) correct
39%
(01:48)
wrong
based on 106
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A problem is given to three persons P, Q, R whose respective chances of solving it are 2/7, 4/7, 4/9 respectively. What is the probability that the problem is solved?
A.122/147
B.112/141
C.135/156
D.101/150
E.None of These
Posted from my mobile device
A.122/147
B.112/141
C.135/156
D.101/150
E.None of These
Posted from my mobile device
21 Aug 2021, 05:07
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Given: A problem is given to three persons P, Q, R whose respective chances of solving it are 2/7, 4/7, 4/9 respectively.
Asked: What is the probability that the problem is solved?
The probability that the problem is NOT solved =\( (1-\frac{2}{7})(1-\frac{4}{7})(1-\frac{4}{9}) = \frac{5}{7} * \frac{3}{7} * \frac{5}{9} = \frac{25}{147}\)
The probability that the problem is solved = \(1 - \frac{25}{147} = \frac{122}{147}\)
IMO A
Asked: What is the probability that the problem is solved?
The probability that the problem is NOT solved =\( (1-\frac{2}{7})(1-\frac{4}{7})(1-\frac{4}{9}) = \frac{5}{7} * \frac{3}{7} * \frac{5}{9} = \frac{25}{147}\)
The probability that the problem is solved = \(1 - \frac{25}{147} = \frac{122}{147}\)
IMO A
21 Aug 2021, 07:05
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for this problem, it is easier to determine the probability the problem is NOT solved, and subtract from one to solve for the probability that the problem IS solved.
P(not solved) = (1- \(\frac{2}{7}\)) * (1- \(\frac{4}{7}\)) * (1- \(\frac{4}{9}\))
= \(\frac{5}{7}\) * \(\frac{3}{7}\) * \(\frac{5}{9}\)
= \(\frac{75}{441}\)
= \(\frac{25}{147}\)
P(solved) = 1 - \(\frac{25}{147}\)
= \(\frac{122}{147}\)
ANS = A
P(not solved) = (1- \(\frac{2}{7}\)) * (1- \(\frac{4}{7}\)) * (1- \(\frac{4}{9}\))
= \(\frac{5}{7}\) * \(\frac{3}{7}\) * \(\frac{5}{9}\)
= \(\frac{75}{441}\)
= \(\frac{25}{147}\)
P(solved) = 1 - \(\frac{25}{147}\)
= \(\frac{122}{147}\)
ANS = A
