Probability Question 217

Question: A card is drawn from a pack of 52 cards. A gambler bets that it is a spade or an ace. What are the odds against his winning this bet

Options:

A) 17 : 52

B) 52 : 17

C) 9 : 4

D) 4 : 9

Show Answer

Answer:

Correct Answer: C

Solution:

Probability of the card being a spade or an ace $ =\frac{16}{52}=\frac{4}{13} $ .

Hence odds in favour is $ 4:9. $ So the odds against his winning is $ 9:4 $ .