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STD 11 - 14. probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 14. probability1 Mark
MCQ
Three dice are rolled. If the probability of getting different numbers on the three dice is $\frac{p}{q}$, where $p$ and $q$ are co-prime, then $q- p$ is equal to
  • ✓
    $4$
  • B
    $3$
  • C
    $1$
  • D
    $2$
✓

Answer

Correct option: A.
$4$
a
Total number of ways $=6^3=216$

Favourable outcomes ${ }^6 p _3=120$

$\Rightarrow \text { Probability }=\frac{120}{216}=\frac{5}{9}$

$\Rightarrow p =5, q =9$

$\Rightarrow q - p =4$

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