1. Draw 3 cards without replacement from a standard 52 card deck. What is the probability that: 1.They are all red ? 2.At least one is black ? 3.They are all face cards ? 4.They are all red AND they are all face cards ? 5.They are all red OR they are all face cards ? 6.They are all red IF they are all face cards ? answer

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

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

4. Draw 3 cards without replacement from a standard 52 card deck. What is the probability that: 2,600 1.They are all red ? 22,100 the number of possible outcomes = 52 C 3 = 52 x 51 x 50 = 22,100 3 x 2 x 1 3.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 = 12 C 3 = 12x11x10 3x2x1 = 220 return to problem

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

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

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