Lab+5-Probability


 * Lab 5- Probability**

__**Exercise One: Bernoulli Trial**__

A bernoulli trial is an experiment in which the outcome will be random or of two possible outcomes, for example "success" and "failure". [] There is no bias because for the most part, the numbers of runs of heads and tails are close in range.
 * Definition of Bernoulli Trial:**
 * Table:**
 * || Heads || Tails ||
 * 2X || 6 || 8 ||
 * 3X || 2 || 3 ||
 * 4X || 1 || 1 ||
 * 5X || 0 || 2 ||
 * 6X || 1 || 0 ||
 * 7X || 0 || 1 ||
 * Graph****:**
 * The probability of getting heads or tails is 1/2.**
 * Bias?:**

__**Exercise 2:**__ An experiment is a situation that gives the end result of outcomes by using chance or probability. An outcome is the result of one trial or experiment. An event is one or more outcomes at the end of an experiment. Probability is determining how unlikey an event is to occur. [] The possible events when rolling a dice are how many times the outcome occurs out of how many times the die is rolled. In 100 throws of the dice what is the probability that each number (outcomes) will occur? (hint: 100/6) No, there is no evidence that the dice was loaded. For the most part, the numbers are in close range of each other. The differences are nothing extreme.
 * Table:**
 * Outcome || Events || Total # of Events ||
 * 1 || 20 || 100 ||
 * 2 || 11 || 100 ||
 * 3 || 18 || 100 ||
 * 4 || 25 || 100 ||
 * 5 || 12 || 100 ||
 * 6 || 14 || 100 ||
 * What are all the possible "events" when rolling a dice?**
 * What are all the possible "outcomes" when rolling a dice? **
 * Is there any evidence that the dice was loaded? **

__**Exercise 3: Multiple Outcomes-Pennies**__ The percentage that the outcome is 2 heads is 32%. The percentage that the outcome is 1 head and 1 tail is 46%. The percentage that the outcome is 2 tails is 22%. These percentages are solved by dividing the number of events per outcome by the total number of trials, which was 100. Therefore: 32/100= 32% 46/100=46% 22/100=22% 32+46+22=100%
 * 2 Heads || 32 ||
 * 1 Head, 1 Tail || 46 ||
 * 2 Tails || 22 ||
 * Graph:**

__**Exercise 4: Multiple Outcomes-Dice**__ The probability of each outcome for one dice is 1/6. The probability of each outcome for two dice is as follows:
 * Probability Chart:**
 * || **1 (1/6)** || **2 (1/6)** || **3 (1/6)** || **4 (1/6)** || **5 (1/6)** || **6 (1/6)** ||
 * **1 (1/6)** || 1/36 || 1/36 || 1/36 || 1/36 || 1/36 || 1/36 ||
 * **2 (1/6)** || 1/36 || 1/36 || 1/36 || 1/36 || 1/36 || 1/36 ||
 * **3 (1/6)** || 1/36 || 1/36 || 1/36 || 1/36 || 1/36 || 1/36 ||
 * **4 (1/6)** || 1/36 || 1/36 || 1/36 || 1/36 || 1/36 || 1/36 ||
 * **5 (1/6)** || 1/36 || 1/36 || 1/36 || 1/36 || 1/36 || 1/36 ||
 * **6 (1/6)** || 1/36 || 1/36 || 1/36 || 1/36 || 1/36 || 1/36 ||
 * Probability-Dice**
 * What is the probability of each outcome for 1 dice? **
 * What is the probability of each outcome for 2 dice? **
 * **2** || **3** || **4** || **5** || **6** || **7** || **8** || **9** || **10** || **11** || **12** ||
 * 1/36 || 1/18 || 1/12 || 1/9 || 5/36 || 1/6 || 1/9 || 1/9 || 1/12 || 1/18 || 1/36 ||
 * Frequency-Dice**
 * = **2** ||= **3** ||= **4** ||= **5** ||= **6** ||= **7** ||= **8** ||= **9** ||= **10** ||= **11** ||= **12** ||
 * = 2 ||= 11 ||= 5 ||= 15 ||= 11 ||= 17 ||= 17 ||= 11 ||= 7 ||= 2 ||= 2 ||