Download vocab . . . experimental probability - probability which is determined

vocab . . .
experimental probability - probability which is determined by repeating an
experiment and collecting the results: it is written as a ratio
experimental probability:
P(outcome) = # of desired outcomes that occured
Total # of times experiment is done
theoretical probability - probability which is determined based on theory,
it is written as a ratio
theoretical probability:
P(outcome) = # of desired outcomes possible in a single event
Total # of outcomes possible
complimentary probability - two mutually exclusive outcomes (two
outcomes that cannot occur at the same time) that represent all of the
possible outcomes in an event
ex. P(match) and P(no-match) are complimentary probabilities
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1.2 Matching Colors
Play the match no-match game with a partner.
The person with a birth date closest to January
1st is player A. Take a total of 24 turns. (12
turns each player.) For each turn, record the
color pair in the table below and award the
points to the appropriate player.
Directions:
• Players take turns spinning a spinner like the one
shown here.
• On each turn, a player spins the pointer of the
spinner twice. If both spins land on the same color (a
match), then Player A scores 1 point.
If the two
spins land on different colors (a no-match), then
Player B scores 2 points.
• The player with the most points after 24 spins wins.
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experimental probability of a match:
P(match) = # of turns that are matches
Total # of turns
experimental probability of a match:
P(no-match) = # of turns that are no-matches
Total # of turns
A.
What was your experimental probability for a match?
for a no-match?
B. List all the possible outcomes of a turn (two spins).
the outcomes as pairs, for example blue/blue.
Write
theoretical probability of a match:
P(match) = # of outcomes that are matches
Total # of outcomes
theoretical probability of a no-match:
P(no-match) = # of outcomes that are no-matches
Total # of outcomes
C.
D.
What was your theoretical probability for a match?
for a no-match?
How do your results for A and C compare?
E.
Is Match/No-Match a fair game? If you think the game is
fair, explain why. If you think the game is not fair, explain
how the rules could be changed to make it fair.
1.
Are a match and a no-match equally likely?
reasoning.
Explain your
2.
In 100 turns of the Match/No-Match game, how many times
would you expect the following to occur?
a.
two yellows?
b.
two blues?
c.
one yellow and one blue?
d.
at least one yellow?
3.
How could you make the Match/No Match game fair?
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