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Probability — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsProbability2 Marks
MCQ
Six dice are thrown. The probability that different numbers will turn up is equal to
  • A
    $\frac{5}{36}$
  • ✓
    $\frac{5}{324}$
  • C
    $\frac{3}{324}$
  • D
    $\frac{1}{324}$
✓

Answer

Correct option: B.
$\frac{5}{324}$
(B)
When six dice are thrown, the total number of outcomes is $6^6$. They can show different number in ${ }^6 P _6=6$ ! ways
$\therefore \quad$ Required probability $=\frac{6!}{6^6}=\frac{5!}{6^5}=\frac{5}{324}$

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