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.
$\frac{1}{6}$
$2$ dice are thrown together
$\therefore$ Number of total outcomes $= 6 \times 6 = 36$
Number which should come together are $(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)$
$= 6$ pairs
$\therefore\ \text{Probability P}_\text{(E)}=\frac{6}{36}=\frac{1}{6}$
$\therefore$ Number of total outcomes $= 6 \times 6 = 36$
Number which should come together are $(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)$
$= 6$ pairs
$\therefore\ \text{Probability P}_\text{(E)}=\frac{6}{36}=\frac{1}{6}$
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