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14. probability — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS14. probability1 Mark
MCQ
Two digits are selected randomly from the set $\{1, 2,3, 4, 5, 6, 7, 8\}$ without replacement one by one. The probability that minimum of the two digits is less than $5$ is
  • A
    $\frac {3}{14}$
  • ✓
    $\frac {11}{14}$
  • C
    $\frac {5}{14}$
  • D
    $\frac {9}{14}$
✓

Answer

Correct option: B.
$\frac {11}{14}$
b
Required probability
$= 1 -$ (probability that both the digit are greater than $5$)

$ = 1 - \frac{{{}^4{C_2}}}{{{}^8{C_2}}} = \frac{{11}}{{14}}$

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