Lesson 3: Testing the Law of large numbers

This lesson will be teached through problem solving.
A. We will test with the binomial probabilities of the toss of a coin. You can use the probability simulator of a graphic calculator, toss the coins or follow this link: http://www.subtangent.com/maths/flash/probsim.swf
1. Toss a coin 10 times. Record the outcomes and calculate the probability.
2. Toss it 10 times more. Add the outcomes to the ones of A.1. Calculate the experimental probabilities.
3. Now do it 50 times more and add the outcomes to the previous ones. Calculate the probabilities.
4. What is the theoretical probability of tossing a coin? Do you notice that each time that the experimental probabilities are closer to the theoretical?
B. Juan tossed the coin 20 times and got HTHTHHTTTHHTHTTTTTHT? What is the probability of getting heads? Tails?
1. What can Juan do to make the probabilities closer to one half? Why?