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14. probability — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS14. probability1 Mark
MCQ
If three students $A, B, C$ independently solve a problem with probabilitities $\frac{1}{3},\frac{1}{4}$ and $\frac{1}{5}$ respectively, then the probability that the problem will be solved is
  • ✓
    $\frac {3}{5}$
  • B
    $\frac {4}{5}$
  • C
    $\frac {2}{5}$
  • D
    $\frac {47}{60}$
✓

Answer

Correct option: A.
$\frac {3}{5}$
a
Required probability

$=1-\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)$

$\Rightarrow \frac{3}{5}$

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