Question:
The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now, one card is drawn at fandom from the
remaining cards. Determine the probability that the card is
(i) a heart
(ii) a king
Solution:
If we remove one king, one queen and one jack of clubs from 52 cards, then the remaining
cards left, n(S) = 49
(I) Let $E_{1}=$ Event of getting a heart
$n\left(E_{1}\right)=13$
$\therefore$ $P\left(E_{1}\right)=\frac{n\left(E_{1}\right)}{n(S)}=\frac{13}{49}$
(ii) Let $E_{2}=$ Event of getting a king
$n\left(E_{2}\right)=3 \quad$ [since, out of 4 king, one club cards is already removed]
$\therefore$ $P\left(E_{2}\right)=\frac{n\left(E_{2}\right)}{n(S)}=\frac{3}{49}$