Three persons work independently on a problem. If the respective … - Vidyadip

MCQ

Three persons work independently on a problem. If the respective probabilities that they will solve it are 1/3, 1/4 and 1/5, then the probability that none can solve it is

✓
$\frac{2}{5}$
B
$\frac{3}{5}$
C
$\frac{1}{3}$
D
None of these

✓

Answer

Correct option: A.

$\frac{2}{5}$

(A)
Required probability
$=\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)=\frac{2}{3} \cdot \frac{3}{4} \cdot\frac{4}{5}=\frac{2}{5}$

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