Transcript Act It Out

Main Idea
Example 1: Act it Out
• Solve problems by acting it out.
Act It Out
GAMES Julia and Carl are playing a game by
spinning a spinner with equal sections numbered
1–6 and tossing a coin. What is the probability of
spinning a 2 and then tossing a heads?
Understand You know the theoretical probability that
the spinner will land on a 2 is
and the
theoretical probability that a coin will land
on heads is
.
Act It Out
Plan
Spin a spinner with 6 equal sections
once and then toss a coin. If the
spinner lands on 2 and the coin comes
up heads it’s a favorable outcome.
Repeat this experiment 10 times.
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Solve
Spin the spinner and toss the coin and
make a table of the results.
The circled column shows that 1 out of
10 trials resulted in the spinner landing
on 2 and the coin toss coming up heads.
So, the probability is 10%.
Act It Out
Sample Answer: From the experiment, the probability
is
The theoretical probability of
spinning a 2 and then tossing a coin
that comes up heads is
This is close to the experimental
probability
Check
Repeat the experiment several times to
see whether the results agree.
Jen wins an average of 1 out of every 2 games of tennis
that she plays with her sister. Which experiment could
you use to determine the probability that she wins two
games in a row? What is a reasonable result for the
experimental probability?
A. Flip two coins; 20%.
B. Spin a spinner with 4 equal sections one time;
25%.
C. Roll a number cube with numbers 1-6 and flip a
coin; 30%.
D. Spin a spinner with 4 equal sections two times;
40%.