First slide

Theorems of probability

Question

Two cards are drawn from pack and given that they are of different colours. The probability of getting one king and one Queen is

Easy

A

$\frac{1}{169}$
B

$\frac{2}{169}$
C

$\frac{4}{169}$
D

$\frac{5}{169}$

Solution

$p r o b = \frac{2 [{}^{2}C_{1} \times {}^{2}C_{1}]}{{}^{26}C_{1} \times {}^{26}C_{1}}$
= $\frac{2}{169}$

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