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NIMCET 2018 Mathematics PYQ — Two persons A and B agree to meet on 20th April 2018 between 6 P.… | Mathem Solvex | Mathem Solvex

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NIMCET 2018 — Mathematics PYQ

NIMCET | Mathematics | 2018

Two persons A and B agree to meet on 20th April 2018 between 6 P.M. and 7 P.M., with the understanding that they will wait no longer than 20 minutes for the other. What is the probability that they meet ?

Choose the correct answer:

A.
$\frac{5}{9}$ .
(Correct Answer)
B.
$\frac{7}{9}$

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TopicAll "Probability" PYQs →SubjectMore Mathematics Questions →NIMCET 2018 Paper →

C.
$\frac{2}{9}$

D.
$\frac{4}{9}$ .

Correct Answer:
$\frac{5}{9}$ .

Explanation

In the given question, $n = 2$ , and for them to be within 20 minutes of each other in a span of 60 minutes,
$q = \frac{20}{60} = \frac{1}{3}$ .

The required probability is:

$P_{2} = 2 (\frac{1}{3})^{2 - 1} - (2 - 1) (\frac{1}{3})^{2}$

$P_{2} = \frac{2}{3} - \frac{1}{9}$

$P_{2} = \frac{5}{9}$

The probability that both A and B will meet is $\frac{5}{9}$ .

Explanation

In the given question, $n = 2$ , and for them to be within 20 minutes of each other in a span of 60 minutes,
$q = \frac{20}{60} = \frac{1}{3}$ .

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