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 random from the remaining cards. What is the probability that the card is

A club

Answer 1

Step: Find the probability that the card is a club

Total number of cards $=52-3=49$

Let $E_1=$ Event of getting a club

$\therefore n\left(E_1\right)=(13-3)=10$

[Since, 3 cards of clubs has been removed from the deck]

$\therefore Probability=\frac{n\left(E_1\right)}{n\left(s\right)}=\frac{10}{49}$

Hence, the probability that the card drawn is a club is $\frac{10}{49}$