Multiple choice

if a card is drawn from a well-shuffled deck of cards then a) What are the odds in favour of getting a spade? b) What are the odds in favour of getting a king?

  1. $1:4, 1:13$
  2. $1:3, 1:12$
  3. $1:6, 1:12$
  4. $1:8, 1:26$
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B Correct answer
Explanation

There are 13 spades in a 52-card deck, so the odds in favor are 13:39, which simplifies to 1:3. There are 4 kings, so the odds in favor are 4:48, which simplifies to 1:12.

AI explanation

For a spade, there are 13 favorable outcomes and 39 unfavorable outcomes, making the odds in favor 13 to 39, or 1:3. For a king, there are 4 favorable outcomes and 48 unfavorable outcomes, making the odds 4 to 48, or 1:12. Therefore, the odds are 1:3 for a spade and 1:12 for a king.

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