First slide

Theorems of probability

Question

Three faces of a fair die are yellow, two faces red and one face is blue. The die is tossed 3 times. The probability that the colours yellow, red, blue appear is (need not in order)

Moderate

A

$\frac{1}{36}$
B

$\frac{1}{6}$
C

$\frac{5}{6}$
D

$\frac{1}{2}$

Solution

$P (E) = \frac{3! . {}^{3}C_{1} \times {}^{2}C_{1} \times {}^{1}C_{1}}{6 \times 6 \times 6} = \frac{1}{6}$

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