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Question
What are the odds in favour of getting a spade if the card drawn from a well-shuffled deck of cards? What are the odds in favour of getting a king?
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Solution
In a pack of 52 cards, there are 13 cards of spade.
There are 13 outcomes favourable to the event 'a spade', while the other (52 – 13 =) 39 are unfavourable.
∴ Odds in favour of getting a spade = \[\frac{\text{ Number of favourable outcomes } }{\text{ Number of unfavourable outcomes} } = \frac{13}{39} = \frac{1}{3} = 1: 3\]
Again, there are four kings in a pack of 52 cards.
There are 4 outcomes favourable to the event 'a king', while the other (52 – 4 =) 48 are unfavourable.
∴ Odds in favour of getting a king = \[\frac{\text{ Number of favourable outcomes} }{\text{ Number of unfavourable outcomes } } = \frac{4}{48} = \frac{1}{12} = 1: 12\]
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