Question

You have a standard deck of playing cards from which you randomly draw a card. Let A be the event that the card is an ace, let R be the event that the card is red, and let D be the event that the card is a diamond. Find the specified probability as a fraction.

Answer 1

Standard card deck has 52 playing cards.

There are 4 aces in the deck.
So, the probability of event $P(A)=\frac{4}{52}=\frac{1}{13}$.

There are 26 red cards in the deck.
So, the probability of event $P(R)=\frac{26}{52}=\frac{1}{2}$.

There are 13 diamond cards in the deck.
So, the probability of event $P(D)=\frac{13}{52}=\frac{1}{4}$.