SOLUTION: You draw one card from a standard deck. (a) What is the probability that you do not select a diamond? (b) What is the probability that you do not select a face card? (

Algebra ->  Probability-and-statistics -> SOLUTION: You draw one card from a standard deck. (a) What is the probability that you do not select a diamond? (b) What is the probability that you do not select a face card? (      Log On


   



Question 1048035: You draw one card from a standard deck.
(a) What is the probability that you do not select a diamond?

(b) What is the probability that you do not select a face card?

(c) What is the probability that you do not select an Ace?

(d) What is the probability that you do not select a Jack or a King?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
draw one card from a standard deck. Face cards are Js, Qs, Ks
A♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ J♥ Q♥ K♥
A♦ 2♦ 3♦ 4♦ 5♦ 6♦ 7♦ 8♦ 9♦ 10♦ J♦ Q♦ K♦
A♠ 2♠ 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ 9♠ 10♠ J♠ Q♠ K♠
A♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ J♣ Q♣ K♣
a) P(NOT a Diamond) = 1 - P(Diamond) = 1 - 13/52 = 3/4
b) P(NOT a Face card) = 1 - P(Face card) = 1 - 12/52 = = 40/52 = 10/13
c) P(NOT an Ace) = 1 - P(Ace) = 1-4/52 = 12/13
d) P(NOT J or K) = 1 - P(J or K) = 1 - 8/52 = 44/52