# MAT126 WEEK 4 DISC 2

**Question description**

Week Four Discussion 2 |

This Discussion allows you to demonstrate your understanding of the similarities and differences between classical probability and empirical probability.

- In your own words, describe
main differences between classical and empirical probabilities.*two* - Gather coins you find around your home or in your pocket or purse. You will need an
of coins (any denomination) between 16 and 30. You do not need more than that. Put all of the coins in a small bag or container big enough to allow the coins to be shaken around. Shake the bag well and empty the coins onto a table. Tally up how many heads and tails are showing. Do*even number*of this experiment, and record your findings*ten repetitions*time.**every**- State how many coins you have and present your data in a table or chart.
- Consider just your first count of the tossed coins. What is the observed probability of tossing a head? Of tossing a tail? Show the formula you used and reduce the answer to lowest terms.
- Did any of your ten repetitions come out to have exactly the same number of heads and tails? How many times did this happen?
- How come the answers to the step above are not exactly ½ and ½?
- What kind of probability are you using in this “bag of coins” experiment?
- Compute the average number of heads from the ten trials (add up the number of heads and divide it by 10).
- Change this to the average probability of tossing heads by putting the average number of heads in a fraction over the number of coins you used in your tosses.
- Did anything surprising or unexpected happen in your results for this experiment?

- Write the sample space for the outcomes of tossing three coins using H for heads and T for tails.
- What is the probability for each of the outcomes?
- Which kind of probability are we using here?
- How come we do not need to have three actual coins to compute the probabilities for these outcomes?

## Tutor Answer

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors