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A Card is Drawn at Random from a Pack of 52 Cards. Find the Probability that the Card Drawn Is:(Ii) Either a Black Card Or a King - Mathematics

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प्रश्न

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is either a black card or a king

उत्तर

Let S denote the sample space.
Then, n(S) = 52

 Let E2 = event of drawing either a black card or a king
      There are 26 black cards including two black kings and there are two more kings.
      Therefore, there are 28 cards in which there is a black card or a king.
     i.e. (E2) = 28

\[\therefore P\left( E_2 \right) = \frac{n\left( E_2 \right)}{n\left( S \right)} = \frac{28}{52} = \frac{7}{13}\]

 

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अध्याय 33: Probability - Exercise 33.3 [पृष्ठ ४६]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 33 Probability
Exercise 33.3 | Q 10.02 | पृष्ठ ४६

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