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Probability — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsProbability2 Marks
MCQ
The probabilities of a student getting first class or second class or third class in an examination are $\frac{2}{7}, \frac{3}{5}, \frac{1}{10}$ respectively. The probability that the student fails is
  • A
    $\frac{6}{70}$
  • B
    $\frac{11}{70}$
  • C
    $\frac{3}{35}$
  • ✓
    $\frac{1}{70}$
✓

Answer

Correct option: D.
$\frac{1}{70}$
(D)
Probability of getting either first class or second class or third class $= P ( A )$
$\begin{array}{l}-\frac{2}{7}+\frac{3}{5}+\frac{1}{10} \\=\frac{69}{70}\end{array}$
Probability of failing $=P\left(A^{\prime}\right)=1-P(A)=\frac{1}{70}$

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