Approximately, 1/3 of our population CANNOT roll their tongue According to which source you use, the percentage is between 19 and 35%

SIDE BAR: Rolling of tongue has a different set of statistics than other tongue tricks like: Clover Tongue Flip Tongue

Please take 30 seconds to show your table partner your fancy tricks with your tongue We have math to learn

Consider This: Ria is doing a survey on the number of people with different genetic traits She asks people, one at time, if they can roll their tongues. Ria was surprised that she asked 5 people before she found someone who wasn’t able to roll their tongue?

Does this mean: The statement “approximately 1 our of 3 people are not able to roll their tongue” is false? Is it unusual that after surveying 5 people she did not find anyone who could not roll their tongue?

To answer this question We will do a simulation of Ria’s experiment Slips of paper Rolling dice Spinning a wheel Drawing cards Software that generates random numbers Simulate a 1 out of 3 chance

Simulation What is the number of times it takes to roll a 1 or 2 with a die? Make the following table on a full sheet of paper

Number of attempts 1 2 3 4 5 6 7 8 9 10 Record a Talley Combined Results (60 simulations) % out of 60 simulations

Each Person Rolls Own Die Roll the die until you get a 1 or 2 Keep rolling until you get 1 or 2 twenty times Tally how many times you need to roll to get 1 or 2 Number of attempts 1 2 3 4 5 6 7 8 9 10 Record a Talley Combined Results (60 simulations) % out of 60 simulations

Combine Data with 2 Other People Put your combined results in the row marked, “Combined Results (60 simulations)” Number of attempts 1 2 3 4 5 6 7 8 9 10 Record a Talley Combined Results (60 simulations) 20 13 % out of 60 simulations

Calculate the % Out of 60 Simulations Number of attempts 1 2 3 4 5 Record a Talley Combined Results (60 simulations) 20 13 9 6 % out of 60 simulations 20/60 33% 13/60 23%

What is the probability it would take five or more attempts? (Add the probability of 5-10 in the bottom row) Theoretically, it should be around 11/60 How does your experimental probability compare with the theoretical probability? Were Ria’s results unusual? Write 5 sentences to explain why or why not.