Experimental Probability Key information: Definition: Probability based on experimental data # of times an event occurs P(event) = # of times an experiment is done
a.) P(Pink) = b.) P(Green) = 1.) Use the table below to answer the following questions. Write each probability as a fraction in lowest terms. Color Number of Ipods 12 Pink Green 8 Blue 28 a.) P(Pink) = b.) P(Green) = c.) P(Blue) = d.) P(green or pink)
2.) In-class experiment: Flipping a Coin Directions: Flip the electronic coin 25 times as a class Record the number of times it lands on heads or tails Before you begin, use the theoretical probability to predict the number of times it will come up heads. Theoretical Probability: P(heads) =
Use tallies to record the results. Heads Tails Experimental Probability: P(heads) = Critical thinking: 1.) Was the experimental probability the same as the theoretical probability? 2.) If we flipped the coin 1,000,000 times, , what do you think would happen to the experimental probability compared to the theoretical probability?
What is the difference between experimental probability and theoretical probability? Theoretical Probability: what "should" happen Experimental Probability: what "did" happen Important Note: Both can be used to predict future events
3.) A reporter surveys 125 people to determine whether they plan to vote for or against a proposed bill. Of these people, 100 say they plan to vote for the bill. a.) What is the experimental probability that the next person surveyed would vote for the bill? Write as a fraction in lowest terms. b.) What is the experimental probability that the next person surveyed would not vote for the bill?
The line plot shows the days of the week for students' birthdays in Ms The line plot shows the days of the week for students' birthdays in Ms. Wilson's homeroom. 1.) How many students are in Ms. Wilson's homeroom? 2.) P(Sunday) 3.) P(Wednesday) 4.) P(weekday) 5.) P(Weekend)
Demonstrate Understanding: 1.) Tonya made 36 saves on 50 shots. What is the experimental probability that she will make a save on the next shot? Write answer as a percent and a fraction in lowest terms. 2.) A medical study tests a new medicine on 20 people. It is effective on 18 of them. Find the experimental probability that the medicine is effective. Write answer as a percent and as a fraction in lowest terms.