Probability Ques 7
- Three identical dice are rolled. The probability that the same number will appear on each of them, is
(1984, 2M)
(a) $\frac{1}{6}$
(b) $\frac{1}{36}$
(c) $\frac{1}{18}$
(d) $\frac{3}{28}$
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Answer:
Correct Answer: 7.(b)
Solution: (b) Since, three dice are rolled.
$\therefore \quad$ Total number of cases $S=6 \times 6 \times 6=216$
and the same number appear on each of them $={ }^6 C_1=6$
$\therefore \quad $ Required probability $=\frac{6}{216}=\frac{1}{36}$