Probability 1 Question 13
21. Three faces of a fair die are yellow, two faces red and one face blue. The die is tossed three times. The probability that the colours, yellow, red and blue, appear in the first, second and the third tosses respectively, is…… .
(1992, 2M)
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Answer:
Correct Answer: 21. $\frac{1}{36}$
Solution:
- According to given condition,
$P$ (yellow at the first toss $)=\frac{3}{6}=\frac{1}{2}$
$P($ red at the second toss $)=\frac{2}{6}=\frac{1}{3}$
and $P$ (blue at the third toss) $=\frac{1}{6}$
Therefore, the probability of the required event
$$ =\frac{1}{2} \times \frac{1}{3} \times \frac{1}{6}=\frac{1}{36} $$
