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)=(4)/(52)=(1)/(13)`.

There are 26 red cards in the deck.
So, the probability of event
`P(R)=(26)/(52)=(1)/(2)`.

There are 13 diamond cards in the deck.
So, the probability of event
`P(D)=(13)/(52)=(1)/(4)`.