Question

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

Answer 1

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

Let E₃ = event of drawing black and a king
       There are two cards: a black card and a king, i.e. a black king.
      i.e. n (E₃) = ²C₁ = 2

\[\therefore P\left( E_3 \right) = \frac{n\left( E_3 \right)}{n\left( S \right)} = \frac{2}{52} = \frac{1}{26}\]