Question

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

(i) bears a number between 4 and 7 both inclusive.

Answer 1

Total number of cards = 52
∴ n(S) = 52
Now,
Let A be the event that the drawn card bears a number between 4 and 7 (both inclusive).
We know:
Number of cards bearing numbers between 4 and 7 (both inclusive) = 16
$\therefore$ n (A) = 16
And,
P (A) = $\frac{n\left(A\right)}{n\left(S\right)}=\frac{16}{52}=\frac{4}{13}$
$\therefore$ Probability that the drawn card bears a number between 4 and 7 (both inclusive) = $\frac{4}{13}$