Six Cards Draw Two and if one or both are the cards you selected, you win!

The Game:

Directions:

Who has the advantage of winning more games? The dealer or the person who selects the two cards?

 

Card1

Card2

Card3

Card 4

Card 5

Card 6

Pattern 1

           

Pattern 2

           

Pattern 3

           

Pattern 4

           

Pattern 5

           

Pattern 6

           

Pattern 7

           

Pattern 8

           

Pattern 9

           

Pattern 10

           

Pattern 11

           

Pattern 12

           

Pattern 13

           

Pattern 14

           

Pattern 15

           

Pattern 16

           

 

 

 

Hint: Pretend their cards (card1 and card2) are two aces 9ace 1 and ace 2). Put all the possible combinations of what those two cards might be, from the six cards, in the table. The rest of the cards could be filled in, but the table below has enough information, because they only draw two cards so the first two rows can represent those cards. What? Think about it...

After you are convinced that the two cards (aces 1 and ace 2) have nine ways of winning. See if you can also see that anyother pair also has nine ways of winning. Wild!

 

 

Card1

Card2

Card3

Card 4

Card 5

Card 6

Pattern 1

ace 1 ace 2 card 3 card 4 card 5 card 6

Pattern 2

ace 1 card 3        

Pattern 3

ace 1 card 4        

Pattern 4

ace 1 card 5        

Pattern 5

ace 1 card 6        

Pattern 6

ace 2 card 3        

Pattern 7

ace 2 card 4        

Pattern 8

ace 2 card 5        

Pattern 9

ace 2 card 6        

Pattern 10

card 3 card 4        

Pattern 11

card 3 card 5        

Pattern 12

card 3 card 6        

Pattern 13

card 4 card 5        

Pattern 14

card 4 card 6        

Pattern 15

card 5 card 6        

 

 

Dr. Robert Sweetland's notes
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