A card is drawn from a deck of 52 cards. Find the probability of getting a king or a heart or a red card.

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CBSE | Class 11 | Maths | NCERT Exemplar | Probability

A card is drawn from a deck of 52 cards. Find the probability of getting a king or a heart or a red card.

Solution:
Total no. of playing cards $=52$
$\therefore n(S)=52$
Total king cards $=4$
Total heart cards $=13$
Total red cards $=13+13=26$
$\therefore$ No. of favourable outcomes $=4+13+26-13-2=28$
It is known that
Probability $=\frac { No. of favourable outcomes } { Total no. of outcomes }$
$\therefore$ Required Probability $=\frac{28}{52}$
$=\frac{7}{13}$