The probabilities of a problem being solved by two students are 1… - Vidyadip

MCQ

The probabilities of a problem being solved by two students are $\frac{1}{2},\frac{1}{3}$. Then the probability of the problem being solved is

✓
$\frac{2}{3}$
B
$\frac{4}{3}$
C
$\frac{1}{3}$
D
$1$

✓

Answer

Correct option: A.

$\frac{2}{3}$

a
(a) The probability that the problem is not being solved by any of two students

$= \left( {1 - \frac{1}{2}} \right)\,\left( {1 - \frac{1}{3}} \right) = \frac{1}{3}$ and

probability that the problem is solved $= 1 - \frac{1}{3} = \frac{2}{3}$.

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