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Probability of Simple Games Coin Toss A. Single Coin Toss Have

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					                           Probability of Simple Games

Coin Toss:

A.     Single Coin Toss: Have students discuss why football teams use a
single coin toss at the beginning of a game to determine which team kicks or
receives. Is this a fair way to determine this?
       Have students work in pairs and toss a single coin 50 times each. They
should record their results using tally marks on the attached sheet and report
them to the class when done.
       After students discuss their results and compare all groups results, they
need to find the mean of the entire class’ results.

B.     Two Coin Toss:Ask how many possible outcomes there are to tossing
two coins?
       Have students work in pairs and toss two coins 50 times each. Record
results using tally marks on the attached sheet and report them to the class when
done. Students could also find the mean of the entire class’ results.

       After students discuss their results and compare all groups results,
complete the two tree diagrams on coin tossing and discuss the difference in
theoretical and experimental probability.

Dice:

      Have students recall single die or pair of dice outcomes that are
considered lucky or unlucky. For example: rolling a “lucky seven” using a pair of
dice. Have students complete an outcome table (attached). List the total number
of ways each sum can be obtained.

Questions to Ask:

1.)     Is seven is really a lucky or likely number or is another number more
        likely?

2.)     Which numbers are less likely?

3.)     How likely is it to roll doubles, “snake-eyes”?

4.)     What are the chances of rolling doubles two times in a row?

5.)     What are the chances of rolling doubles three times in a row, and losing a
        turn in some games?

6.)     Are even sums more likely to result than odd sums?
               Single Coin Toss Recording Sheet
Experimental
               Heads                      Tails
Student 1
Name:




Student 2

Name:




Totals


Class Totals


Write out totals as simplified fractions, decimals and percents.
                             Two Coin Toss
Experimental
               Heads/Heads       Tails/Tails        Heads/Tails
Student 1
Name:




Student 2
Name:




totals


Class Totals


Write out totals as simplified fractions, decimals and percents.
 Tree Diagrams:
Single Coin Toss
   Theoretical




Two Coin Toss
Theoretical Outcomes for Tossing a Pair of Dice
Add the
value from
each die
             1   2   3      4      5      6


      1

      2

      3

      4

      5

      6

				
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posted:12/24/2011
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