Multiple Guess, How Many Phone Numbers, and The Fundamental Principle of Counting

Numbers by flickr user Chaval Brasil

Simulating Binomial Experiments: randBin(# of trials, prob. of success, # of simulations)What is the probability of getting exactly 2 heads when fliping 3 coins 40 times?You'll need to know the the theoretical probability of this result is 3/8.Here is how to do the experiment on your calculator.

Step Action 1. Press [Math] button on TI83 calculator. 2. Select [Prob]. 3. Select [randBin] (random binomial experiment). 4. Type in (1, 3/8, 40) .

1 represents the outcome for success (failure is 0).3/8 represents the theoretical probability of success.40 represents number of times the experiment is repeated.

5. Press enter and a result will show in row. 6. Press [STO] [2nd] [L1] to store the results in List 1. 7. Press [2nd] [STAT]. 8. Select [MATH] [Sum] [2nd] [L1] to find the sum of all the values in List 1. 9. Since "success = 1" and "failure = 0" this sum represents the number of successes.

You can also use this website: Random.org

Binomial Experiments & Probability

http://www.random.org/

little predator

Design an experiment using coins to simulate a 10 question true/false test. What is the experimental probability of scoring at least 70% on the test if you guess each answer? HOMEWORK

HOMEWORKDesign an experiment to determine the probability of passing a six-question multiple choice test if you guess all the answers. Each question has four answers, and one answer is correct in each case.

How many simulations would seem reasonable?

What is the experimental probability of getting at least 50% on the test?

Pascal's TriangleHow many different patterns can you find in the triangle?