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Probability — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsProbability2 Marks
MCQ
An integer is chosen from $\{2 k /-9 \leq k \leq 10\}$. The probability that it is divisible by both 4 and 6 is
  • A
    $\frac{1}{10}$
  • B
    $\frac{1}{20}$
  • C
    $\frac{1}{4}$
  • ✓
    $\frac{3}{20}$
✓

Answer

Correct option: D.
$\frac{3}{20}$
(D)
$\begin{array}{l}S=\{-18,-16,-14, \ldots, 20\} \\n(S)=20\end{array}$
A : no. divisible by both 4 and 6
$\begin{array}{l}A=\{-12,0,12\} \\P(A)=\frac{n(A)}{n(S)}=\frac{3}{20}\end{array}$

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