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STD 11 - 14. probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 14. probability1 Mark
MCQ
From eighty cards numbered $1$ to $80$, two cards are selected randomly. The probability that both the cards have the numbers divisible by $4$ is given by
  • A
    $\frac{{21}}{{316}}$
  • ✓
    $\frac{{19}}{{316}}$
  • C
    $\frac{1}{4}$
  • D
    None of these
✓

Answer

Correct option: B.
$\frac{{19}}{{316}}$
b
(b) Total number of ways $ = {\,^{80}}{C_2}$

and favorable ways ${ = ^{20}}{C_2}$

$\therefore$ Required probability $P = \frac{{^{20}{C_{_2}}}}{{^{80}{C_2}}} = \frac{{19}}{{316}}$.

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