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

10 of hearts

Answer 1

Step: Find the probability that the card is 10 of hearts

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

Let $E_1$ = Event of getting 10 of hearts

$\therefore n\left(E_1\right)=1$ [Because in 52 playing cards only 13 are the heart cards and only one 10 is there in 13 heart cards]

$\therefore Probability=\frac{n\left(E_1\right)}{n\left(s\right)}=\frac{1}{49}$

Hence, the probability that the card drawn is 10 of hearts is $\frac{1}{49}.$