Question

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a jack, queen or a king

Answer 1

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

Let E₄ = event of drawing a jack, a queen or a king
       Out of 52 cards, there are four jacks, four queens and four kings.
      i.e. n (E₄) = ⁴C₁ + ⁴C₁ + ⁴C₁
                      = 4 + 4 + 4 = 12

\[\therefore P\left( E_4 \right) = \frac{n\left( E_4 \right)}{n\left( S \right)} = \frac{12}{52} = \frac{3}{13}\]