Question

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

Answer 1

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. n (E₂) = 28

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