Question

From a well shuffled pack of $52$ cards, one card is drawn at random. Find the probability of getting a diamond

Answer 1

Cards of spades and clubs are black in colour. Cards of heart and diamonds are red in colour. In $13$ cards of each suit, there are three honour cards or face cards namely Kings (K), Queens (Q) and Jacks or Knaves (J).
A well shuffled pack of cards ensures equally likely outcomes.
The $52$ playing cards are classified as follows:
One card out of $52$ well shuffled cards can be selected in ${}^{52}{C}_1$ ways
$\therefore n\left(S\right)=52$

Let $D$ be an event of getting a diamond
Then, $n\left(D\right)=13$

$\therefore P\left(D\right)=\frac{13}{52}=\frac{1}{4}$