Question

From a pack of $52$ cards one card drawn at random. What is the probability that the card drawn is a ten or a spade?

• A. $\frac{4}{13}$
• B. $\frac{1}{4}$
• C. $\frac{1}{13}$
• D. $\frac{1}{26}$

Answer 1

The correct option is A $\frac{4}{13}$

Here n(S) = 52
There are 13 spades (including one ten) and there are 3 more tens
Let E = event of getting a ten or a spade
Then n(E)=(13+13)=16
$\therefore P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}=\frac{16}{52}=\frac{4}{13}$