Your Name:                                                                            Game Serial #               

 

 

 3530

 

5-Card Game Worksheet

Game:       Use a deck of cards with four suits (R, G, B, Y) and numbers 1-5, (20 cards total).

                  Deal two hands of three cards: one with two cards face up and one card face down, and the other with one card face up and two cards face down.

                  Group decides which hand is likely to be the best.

                  See Conceptual Tools handout on 5-card game for ranks of hands and odds of hands.

                  Turn over the face-down cards and score:

                        one point if group guesses high hand correctly,

                        one point if hands are tied, and

                        no points if group guesses incorrectly.

                  Group tries to maximize percentage correct over many rounds.

 

                  For the first two rounds, calculate the odds of each possible type of hand (after the cards are dealt), and write the number in the table below:

 

Hands:       Straight = #'s in order, e.g., 1,2,3;

                  Flush = all same suit, e.g., Y,Y,Y;

                  n-of-kind = n same #, e.g., 2,2,2

Round 1: hand with two cards face up          Write up cards #, suit here  

P(straight flush)

P(3-of-kind)

P(flush)

P(straight)

P(pair)

P(low hand)

 

 

 

 

 

 

 

Round 1: hand with one card face up            Write up card #, suit here 

P(straight flush)

P(3-of-kind)

P(flush)

P(straight)

P(pair)

P(low hand)

 

 

 

 

 

 

 

Round 2: hand with two cards face up          Write up cards #, suit here  

P(straight flush)

P(3-of-kind)

P(flush)

P(straight)

P(pair)

P(low hand)

 

 

 

 

 

 

 

Round 2: hand with one card face up            Write up card #, suit here 

P(straight flush)

P(3-of-kind)

P(flush)

P(straight)

P(pair)

P(low hand)

 

 

 

 

 

 

 

Record % correct guesses after many rounds here:                         for # of rounds =            

Number of possible hands (one 3-card hand): 

 

Table I

Odds of Getting Hands (One 3-card hand, before being dealt)

(from best hand to worst hand)

Hand

# of such hands

Explanation

3 cards straight flush

4 suits, 3 ways to get 3-in-row: 123, 234, 345;

3 of same # (3-of-a-kind)

5 #'s, use 3 of the 4 of that #

3 of same suit (flush)

4 suits, 3 of 5 cards in suit used, minus straight flush

3 in a row (straight)

3 ways to get 3-in-row: 123, 234, 345; 4 suit choices each card, minus straight flush

2 of same # (pair)

 

5 #'s for pair (pair means not flush), use 2 of 4 suits of that #, 16 cards for 3rd card (to not get 3 of kind)

Low hand

 

all remaining hands