Play the Match/No-Match game
with a partner. Take a total of 12
turns (6 turns for each player). For
each turn, record the color pair on the Labsheet, and award points the appropriate
player.
A.
Use the results you collected to find the experimental
probabilities of a match and a no-match.
The experimental probability of a match is
P(match) = # of
turns that are matches / total number of turns
The experimental
probability of a no-match is
P(no-match) = #
of turns that are no-matches / total number of turns
B.
List all possible outcomes of a turn (two spins). Write the outcomes as pairs of the form color
on first spin / color on second spin, such as blue/blue. Use your list to determine the theoretical
probabilities of a match and a no-match.
Since all the outcomes are equally likely, the theoretical probability
of a match is
P(match) = # of
outcomes that are matches / number of possible outcomes
The theoretical
probability of a no-match is
P(no-match) = # of
outcomes that are no-matches / # of possible outcomes
C.
How do your results for parts A and B compare?
D.
Is Match/No-Match a fair game? If you think the game is fair, explain
why. If you think it is not fair,
explain how the rules could be changed to make it fair.
April and Tioko invented a
two-player spinner game called Match/No-Match.
A player spins the spinner twice on his or her turn. If both spins land on the same color (a
match), Player A scores. If the two
spins land on different colors (a no-match), Player B scores. Since there are two matching combinations –
blue/blue and yellow/yellow – they decided that Player A should score only 1
point for a match and Player B should score 2 points for a no-match.