Question

A card is selected from a pack of $52$ cards.
I. The probability that card is an ace of spades, is $\frac{2}{52}$.
II. The probability that the card is black card, is $\frac{1}{2}$.

• A. Only I is false.
• B. Only II is false.
• C. Both I and II are false.
• D. Both I and II are true.

Answer 1

Answer: (A)

There is $1$ ace of spade.
$\therefore n(A)=1, n(S)=52$
Probability that the card drawn is an ace of spade
$=\frac{n(A)}{n(S)}=\frac{1}{52}$
II. There are $26$ black cards.
$n(A)=26, n(S)=52$
Probability of getting a black card $=\frac{26}{52}=\frac{1}{2}$