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Educating Our Eagles - Issue 23

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HIGH SCHOOL:<br />

Probability Basics<br />

Students in 11th and 12th grade Math were presented with the definition of probability<br />

and discussed sample spaces and events. Two major types of probability (theoretical<br />

and empirical) were discussed and explored. Students explored and provided<br />

examples of real-life scenarios to illustrate the different types. Common misconceptions<br />

were investigated such as that probability is always based on luck or chance, emphasizing<br />

that it can also be calculated using mathematical principles. Students then used empirical<br />

probability to make predictions and decisions regarding outcomes.<br />

As a result of instruction, students will be able to:<br />

• calculate probability, both theoretical and empirical and evaluate potential outcomes<br />

of a decision by allotting probabilities to payoff values and computing expected values.<br />

Observations:<br />

Students were using their knowledge of theoretical and empirical probability to make informed<br />

decisions based on the likelihood of events.<br />

MA Standards:<br />

Using Probability to Make Decisions<br />

A. Calculate expected values and use them to solve problems.<br />

B. Use probability to evaluate outcomes of decisions.<br />

EDUCATING OUR EAGLES<br />

16

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