This document discusses binomial experiments and probability. It provides instructions on how to simulate binomial experiments using a TI-83 calculator or the Random.org website. It includes examples of using coins to simulate a true/false test and a multiple choice test. It also mentions Pascal's triangle and different patterns that can be found within it.

1. Multiple Guess, How
Many Phone Numbers,
and The Fundamental
Principle of Counting
Numbers by flickr user Chaval Brasil

3. Binomial Experiments & Probability
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) .
little predator
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 quot;success = 1quot; and quot;failure = 0quot; this sum represents the number of successes.
You can also use this website: Random.org http://www.random.org/

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

5. HOMEWORK
Design 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?

6. Pascal's Triangle
How many different patterns can you find in the triangle?