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14.Probability
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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
A
$\frac {3}{5}$
B
$\frac {4}{5}$
C
$\frac {2}{5}$
D
$\frac {47}{60}$
Solution
Required probability
$=1-\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)$
$\Rightarrow \frac{3}{5}$
Standard 11
Mathematics
