CUET Mathematics 2022 Mathematics Set 1

Three persons A, B and C were given a task, whose probabilities of completion…

CUET Mathematics 2022 · Mathematics · 4 questions

Three persons \(A, B\) and \(C\) were given a task, whose probabilities of completion their task on time are \(\frac{1}{3}, \frac{1}{4}\), and \(\frac{1}{5}\) respectively. They were asked to complete the task on time independently.

Question 1

The probability that exactly two of them complete the task on time is

A. \(\frac{3}{20}\)
B. \(\frac{13}{20}\)
C. \(\frac{1}{5}\)
D. \(\frac{2}{15}\)

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Question 2

The probability that \(B\) alone complete the task on time is:

A. \(\frac{13}{30}\)
B. \(\frac{3}{30}\)
C. \(\frac{2}{5}\)
D. \(\frac{2}{15}\)

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Question 3

The probability that the task is completed on time by none of them is

A. \(\frac{3}{20}\)
B. \(\frac{2}{5}\)
C. \(\frac{13}{20}\)
D. \(\frac{2}{15}\)

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Question 4

The probability that task is completed on time by at least one of them is:

A. \(\frac{2}{5}\)
B. \(\frac{3}{20}\)
C. \(\frac{3}{5}\)
D. \(\frac{2}{15}\)

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