MCQ
Two dice are thrown together. The probability of getting the same number on both dice is :
- A$\frac{1}{2}$
- B$\frac{1}{3}$
- ✓$\frac{1}{6}$
- D$\frac{1}{12}$
✓
Answer
Correct option: C.
$\frac{1}{6}$
Total no. Of outcomes when $2$ dice are thrown $= 6 \times 6 = 36$
Favourable outcomes $(1, 1), (2, 2), (3, 3), (4, 4), (5, 5)$ and $(6, 6).$
No. Of favourable outcomes $= 6$
Probability $($same no. On both dice$) =\frac{\text{No. of favourable outcomes}}{\text{Total no. of outcomes}}$
Probability $($same no. On both dice$) =\frac{6}{36}=\frac{1}{6}$
Probability $($same no. On both dice$) =\frac{1}{6}$
Favourable outcomes $(1, 1), (2, 2), (3, 3), (4, 4), (5, 5)$ and $(6, 6).$
No. Of favourable outcomes $= 6$
Probability $($same no. On both dice$) =\frac{\text{No. of favourable outcomes}}{\text{Total no. of outcomes}}$
Probability $($same no. On both dice$) =\frac{6}{36}=\frac{1}{6}$
Probability $($same no. On both dice$) =\frac{1}{6}$
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