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Draw 3 cards without replacement from a standard 52 card deck. What is the probability that:

Draw 3 cards without replacement from a standard 52 card deck. What is the probability that: They are all red ? At least one is black ? They are all face cards ? They are all red AND they are all face cards ? They are all red OR they are all face cards ?

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Draw 3 cards without replacement from a standard 52 card deck. What is the probability that:

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  1. Draw 3 cards without replacement from a standard 52 card deck. • What is the probability that: • They are all red ? • At least one is black ? • They are all face cards ? • They are all red AND they are all face cards ? • They are all red OR they are all face cards ? • They are all red IF they are all face cards ? answer answer answer answer answer answer

  2. the number of possible outcomes = 52C3 = 52 x 51 x 50 = 22,100 3 x 2 x 1 • Draw 3 cards without replacement from a standard 52 card deck. • What is the probability that: • 2,600 = 2 • They are all red ? 22,100 17 • there are 26 red cards in a deck so the number of • favorable outcomes = 26C3 = 26 x 25 x 24 = 2600 • 3 x 2 x 1 return to problem

  3. the number of possible outcomes = 52C3 = 52 x 51 x 50 = 22,100 3 x 2 x 1 • Draw 3 cards without replacement from a standard 52 card deck. • What is the probability that: • 2,600 = 2 • They are all red ? 22,100 17 15 17 2. At least one is black ? “at least one black” means “NOT all red” P( all red ) + P( NOT all red ) = 1 return to problem 15 17 17 17 2 17 = +

  4.            the number of possible outcomes = 52C3 = 52 x 51 x 50 = 22,100 3 x 2 x 1 • Draw 3 cards without replacement from a standard 52 card deck. • What is the probability that: • 2,600 • They are all red ? 22,100 • They are all face cards? 220 • 22,100 there are 12 face cards king, queen and jack of hearts, diamonds, clubs and spades # favorable outcomes = 12C 3 = 12x11x10 3x2x1 = 220 return to problem

  5.      the number of possible outcomes = 52C3 = 52 x 51 x 50 = 22,100 3 x 2 x 1 • Draw 3 cards without replacement from a standard 52 card deck. • What is the probability that: • 2,600 • They are all red ? 22,100 • They are all face cards? 220 • 22,100 4. They are all red and they are all face cards? 20 22,100 there are 6 red face cards king, queen and jack of hearts and diamonds # favorable outcomes = 6C 3 = 6x5x4 3x2x1 = 20 return to problem

  6. the number of possible outcomes = 52C3 = 52 x 51 x 50 = 22,100 3 x 2 x 1 • Draw 3 cards without replacement from a standard 52 card deck. • What is the probability that: • 2,600 • They are all red ? 22,100 4. They are all red and they are all face cards? 20 22,100 • They are all face cards? 220 • 22,100 5. They are all red or they are all face cards = P( R  F ) = P( R ) + P( F ) - P( R  F ) = 2600 + 220 - 20 = 2800 22100 22100 22100 22100 return to problem

  7. the number of possible outcomes = 52C3 = 52 x 51 x 50 = 22,100 3 x 2 x 1 • Draw 3 cards without replacement from a standard 52 card deck. • What is the probability that: • 2,600 • They are all red ? 22,100 4. They are all red and they are all face cards? 20 22,100 • They are all face cards? 220 • 22,100 6. They are all red if they are all face cards = P( R / F ) = P( R  F ) = 20/22100= 20 P( F )220/22100220 return to problem

  8.    

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