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  4. 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?

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Q. 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?

Probability

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 $9 : 4.$