Question

A die is thrown and a card is selected at random from a deck of 52 playing cards. The probability getting an even number on the die and a spade card is

• A. 1/2
• B. 1/4
• C. 1/8
• D. 3/4

Answer 1

The correct option is C 1/8

Let $E_1$ = Event for getting an even number on the die
And $E_2$=Event that a spade card is selected
$\therefore P\left(E_1\right)=\frac{3}{6}=\frac{1}{2}$ and $P\left(E_2\right)=\frac{13}{52}=\frac{1}{4}$
Then, $P(E_1\cap E_2)=P\left(E_1\right)\cdot P\left(E_2\right)=\frac{1}{2}\cdot \frac{1}{4}=\frac{1}{8}$