Three faces of aj ordinary dice are yellow, two faces are red and one face is blue. The dice is rolled 3 times. The probability that yellow red and blue face appear in the first second and third throws respectively, is
A$\frac{1}{36}$
B$\frac{1}{6}$
C$\frac{1}{30}$
D
None of these.
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A$\frac{1}{36}$
P(yellow face) $=\frac{3}{6}=\frac{1}{2}$
P(red face) $=\frac{2}{6}=\frac{1}{3}$
P(one face) $=\frac{1}{6}$
P(yellow face, red face and blue face appear in the required order) $=\frac{1}{2}\times\frac{1}{3}\times\frac{1}{6}=\frac{1}{36}$
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