If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -
A. $$\frac{{19}}{{52}}$$
B. $$\frac{{17}}{{52}}$$
C. $$\frac{{5}}{{13}}$$
D. $$\frac{{4}}{{13}}$$
Answer: Option D
Solution (By Examveda Team)
$$P\left( {S \cup K} \right) = $$ $$P\left( S \right) + $$ $$P\left( K \right) - $$ $$P\left( {S \cap K} \right),$$ (where S denotes spade and K denotes king.)$$\eqalign{ & P\left( {S \cup K} \right) = \frac{{13}}{{52}} + \frac{4}{{52}} - \frac{1}{{52}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{4}{{13}} \cr} $$
Join The Discussion