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One card is drawn from a well-shuffled pack of 52 playing cards. What is the probability that it is neither a heart nor a king?

Competition practiceData & Probability
  • A4/13
  • B9/13
  • C8/13
  • D10/13

Step-by-Step Solution

Hearts = 13 and kings = 4, with the king of hearts common to both, so 13 + 4 − 1 = 16 cards are a heart or a king. The remaining 52 − 16 = 36 cards are favourable, giving 36/52 = 9/13.
Answer: B) 9/13

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