Study Guide and Intervention (continued) - MathnMind
Study Guide and Intervention (continued) - MathnMind
Study Guide and Intervention (continued) - MathnMind
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14-5<br />
Performing Simulations A method that is often used to find experimental probability<br />
is a simulation. A simulation allows you to use objects to act out an event that would be<br />
difficult or impractical to perform.<br />
Example<br />
In one baseball season, Pete was able to get a base hit 42 of the<br />
254 times he was at bat.<br />
a. What could be used to simulate his getting a base hit?<br />
First find the experimental probability.<br />
frequency of outcome<br />
Experimental Probability <br />
total number of trials<br />
42<br />
or 16.5%<br />
254<br />
1<br />
Notice that the experimental probability is about . Therefore use a<br />
6<br />
spinner like the one at the right with 6 equally likely outcomes.<br />
b. Describe a way to simulate his next 10 times at bat.<br />
Let an outcome of 1 correspond to Pete’s getting a base hit. Let all other outcomes<br />
correspond to his not getting a hit. Spin the spinner once to simulate a time at bat.<br />
Record the result <strong>and</strong> repeat this 9 more times.<br />
Exercises<br />
NAME ______________________________________________ DATE______________ PERIOD _____<br />
<strong>Study</strong> <strong>Guide</strong> <strong>and</strong> <strong>Intervention</strong> (<strong>continued</strong>)<br />
Probability Simulations<br />
1. What could you use to simulate the outcome of guessing on a 20 question true-false test?<br />
2. What could you use to simulate the outcome of guessing on a 20-question multiple choice<br />
test with 4 alternative answers labeled A, B, C, <strong>and</strong> D for each question?<br />
For Exercises 3–4, use the following information.<br />
Main Street Supermarket r<strong>and</strong>omly gives each shopper a free two-liter bottle of cola during<br />
the Saturday shopping hours. The supermarket sells 6 different types of cola.<br />
3. What could be used to perform a simulation of this situation?<br />
4. How could you use this simulation to model the next 50 bottles of cola given out.<br />
1 2<br />
5 4<br />
5. At a picnic, there were 2 peanut butter s<strong>and</strong>wiches, 2 chicken s<strong>and</strong>wiches, a tuna<br />
s<strong>and</strong>wich, <strong>and</strong> a turkey s<strong>and</strong>wich in a cooler. Describe a simulation that could be used to<br />
find the probability of r<strong>and</strong>omly picking a certain s<strong>and</strong>wich from the cooler.<br />
© Glencoe/McGraw-Hill 856 Glencoe Algebra 1<br />
6<br />
3
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