Question

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

Answer 1

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

 Let E₈ = event of drawing a diamond card.
         There are 13 diamond cards in a pack of 52 cards, out of which one diamond can be drawn in ¹³C₁ .
         ∴ n (E₈) = 13

\[P\left( E_8 \right) = \frac{n\left( E_8 \right)}{n\left( S \right)} = \frac{13}{52} = \frac{1}{4}\]