Question

A card is drawn randomly from a well shuffled pack of 52 playing cards and following events are defined:
A : The drawn card is a face card.
Find odds in favor of A

• A. 3:10
• B. 3:1
• C. 3:7
• D. 7:10

Answer 1

The correct option is A 3:10

Number of face cards in deck is $=3\times 4=12$
Hence probability of drawing face cards is $=\frac{12}{52}=\frac{3}{13}$
Thus odds in favor of A is $=\frac{3/13}{1-3/13}=\frac{3}{10}=3:10$