Multiple Guess, How
Many Phone Numbers,
and The Fundamental
Principle of Counting
Numbers by ﬂickr user Chaval Brasil
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.
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 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/
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?
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?
How many different patterns can you ﬁnd in the triangle?