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# A card is drawn from an ordinary pack and a gambler bets that it is a spade or an ace. What are the odds against his winning this bet?

Total number of cards = 52
⇒ Total number of possible outcomes = 52
Total number of spades = 13
Total number of aces = 4, but out of these 4, 1 ace will be of spade
So, total number of spades and aces = Number of spades + Number of aces - Ace of spade = 13 + 4 - 1 = 16
Number of favourable outcomes of getting a spade or an ace = 13 + 3 = 16
∴ Probability of getting a spade or an ace if a card is drawn at random =
=

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