SOLUTION: A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting

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Question 408214: A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting

• an even number ten or less given the card is a not a heart.
• a five given the card is a face card.
• an Ace, given that the card is red.

Show step by step work. Give all solutions exactly in reduced fraction form.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

A card is selected from a standard deck of 52 playing cards.



• P(an even number ≤ 10, given the card is a not a heart)

 2,4,6,8,10 (5 of these in each suit) 13 cards in each suit.

  P(an even number ≤ 10, given the card is a not a heart)= 15/39



• P(a five, given the card is a face card) 

   12 face cards in deck 

   P(a five, given the card is a face card) = 0 



• P(an Ace, given that the card is red)

  2 red aces out of 26 red cards

  P(an Ace, given that the card is red) = 2/26 = 1/13