Theoretical vs Experimental Probability

Experimental probability: Probability based on a collection of data. Will have a table of results or data from the experiment(s)!

What is the difference between theoretical probability and experimental probability? Theoretical probability shows what should happen in an experiment. Experimental probability shows what actually happened.

1. P (heads) =________ 2. P (tails) = ________ Jim tossed a coin 35 times. He recorded whether the coin landed on heads or tails. Use the results in the table to find each experimental probability. HEADSTAILS llll llll llll llll llll llll llll 3.What is the theoretical probability of throwing heads? 4. tails?

5. What is the difference between the experimental probability of throwing heads and the theoretical probability of throwing heads? (write answer as a percent rounded to the nearest whole percent) Experimental - theoretical This is about 7%

6. What is the difference between the experimental probability of throwing tails and the theoretical probability of throwing tails? (write answer as a percent rounded to the nearest whole percent) Theoretical - Experimental This is about 7%

Mrs. Smith has a bag that contains 6 red Lifesavers, 5 yellow Lifesavers, 8 orange Lifesavers and 9 white Lifesavers. She has another bag that contains 3 Butterfingers, 6 Snickers, and 4 Hershey Bars. You are a student that is being rewarded for good behavior so you get to draw a piece of candy from each bag. Find the following probabilities. Lifesavers 6-red 5 yellow 8 orange 9 white Candy Bars 3-Butterfingers 6 Snickers 4 Hershey Bars

Lifesavers 6-red 5 yellow 8 orange 9 white Candy Bars 3-Butterfingers 6 Snickers 4 Hershey Bars 7.P(yellow Lifesaver, a Snickers) 8.P(red or orange Lifesaver, a Hershey Bar) 9. P(no white lifesaver, a Butterfinger)

David rolled a number cube, with the numbers 1-6 on it. He recorded the results in the table below. NumberOutcomes 1 IIII 2 III 3 IIII 4 IIII I 5 II 6 I Find the THEORETICAL probabilites: 10) P(4) = ______________ 11) P(odd number) = __________ 12) P(2 or 5) = __________ 13) P(a factor of 3) = _________ 14) What is the difference between the experimental probability of rolling a 2 or 5, and the theoretical probability of rolling a 2 or 5? 1/6 ½ 1/3 1/3 1/3 – 1/4 = 1/12