Question

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

Answer 1

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

 Let E₁₀ = event of drawing a black card
      We know that there are 26 black cards, i.e. 13 spades and 13 clubs.
   Then n (E₁₀) = 26

\[\therefore P\left( E_{10} \right) = \frac{n\left( E_{10} \right)}{n\left( S \right)} = \frac{26}{52} = \frac{1}{2}\]