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Mathematics

The king and queen of diamonds are removed from a pack of well-shuffled cards. One card is selected at random from the remaining cards. The probability of getting the king of clubs is:

  1. (14)\Big(\dfrac{1}{4}\Big)

  2. (34)\Big(\dfrac{3}{4}\Big)

  3. (150)\Big(\dfrac{1}{50}\Big)

  4. (352)\Big(\dfrac{3}{52}\Big)

Probability

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Answer

A standard deck of cards contains 52 cards.

In this case, 2 cards (the King of Diamonds and the Queen of Diamonds) are removed from the deck.

Total number of outcomes = 50

Let E be the event of getting the card king of clubs,

The number of favorable outcomes to the event E = 1

P(E)=Number of favorable outcomesTotal number of outcomes=150\therefore P(E) = \dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \dfrac{1}{50}

Hence, option 3 is the correct option.

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