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14. probability — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS14. probability1 Mark
MCQ
Two numbers are selected randomly from the set $S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$ without replacement one by one. The probability that minimum of the two numbers is divisible by $3$ or maximum of the two numbers is divisible by $4$ , is 
  • A
    $\frac{{23}}{{45}}$
  • B
    $\frac{{37}}{{45}}$
  • C
    $\frac{{16}}{{45}}$
  • ✓
    $\frac{{19}}{{45}}$
✓

Answer

Correct option: D.
$\frac{{19}}{{45}}$
d
$P=\frac{2 \times 19}{10 \times 9}=\frac{19}{45}$

favourable : $\{(3,4),(3,5), \ldots \ldots(3,10)$

${(6,7),(6,8), \ldots . .(6,10)} $

${(9,10)}$ ${(1,4),(2,4)} $

${(1,8),(2,8),(4,8),(5,8),(7,8)\}}$

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