A Single Card Is Drawn From An Ordinary Deck S Of 52 Cards. Find The Probability P That: (a) The Card Is King. (b) The Card Is Face Card (jack, Queen Or King). (c) The Card Is A Heart. (d) The Card Is A Face Card And A?

There are are a total of 52 cards in the deck. Let's break it down into what types:

• There are four Kings in a deck.
• There are 12 face cards (3 of each of the 4 kinds).
• There are 13 Heart cards.
• There are 4 A's in a deck.

Answers:
(a) Probability of King = 4/52
  = 1/13
(b) Face card probability = 12/52
  = 3/13
(c) Probability of Heart = 13/52
  = 1/4
(d) Probability of face card and A = (12+4)/52
  = 16/52
  = 4/13
There you go!!! :)

P ( a King) = (Total number of kings)/(total number of cards)
= 4/52
= 1/13

P (card is face card) = (total number of face cards in the deck)/ (total number of cards)
= 12/52
= 3/13

P (a heart card) = (total number of heart cards)/(total number of cards)
= 13/52
= 1/4

P (a face card and A) = (total number of face cards + total number of A's)/ Total number of cards
= 13/52 + 4/52
= 17/52