{"id":2724,"date":"2024-03-05T15:37:21","date_gmt":"2024-03-05T15:37:21","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=2724"},"modified":"2024-03-05T15:37:21","modified_gmt":"2024-03-05T15:37:21","slug":"from-a-pack-of-52-cards-two-cards-are-drawn-the-number-of-ways-that-these-are-one-king-and-one-queen-are","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/from-a-pack-of-52-cards-two-cards-are-drawn-the-number-of-ways-that-these-are-one-king-and-one-queen-are\/","title":{"rendered":"From a pack of 52 cards, two cards are drawn, The number of ways that these are one King and one Queen, are"},"content":{"rendered":"

[amp_mcq option1=”16″ option2=”12″ option3=”8″ option4=”4″ correct=”option3″]<\/p>\n

The correct answer is (c) 8.<\/p>\n

There are 4 kings and 4 queens in a standard deck of 52 cards. To choose one king and one queen, we can do the following:<\/p>\n

    \n
  1. Choose one king in 4 ways.<\/li>\n
  2. Choose one queen in 4 ways.<\/li>\n
  3. Order the two cards in 2 ways.<\/li>\n<\/ol>\n

    However, some of the choices will be the same card twice, such as choosing the king of hearts and then the queen of hearts. To account for this, we need to divide the number of ways we can choose the king and queen by the number of ways we can order them. There are 2 ways to order 2 cards, so we need to divide 4 * 4 by 2.<\/p>\n

    Therefore, the number of ways to choose one king and one queen is $\\frac{4 \\times 4}{2} = 8$.<\/p>\n

    Option (a) is incorrect because it is the number of ways to choose two cards from a deck of 52 cards without replacement. Option (b) is incorrect because it is the number of ways to choose two cards from a deck of 52 cards with replacement. Option (d) is incorrect because it is the number of ways to choose one card from a deck of 52 cards.<\/p>\n","protected":false},"excerpt":{"rendered":"

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