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# Probability part 3

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### Probability part 3

1. 1. Determine theProbability by sampleIf S is a sample space and A is an event in thesample space, then the probability of A happening is:P(A)=Range of probability value is: 0 P(A) 1P(A) = 1 is called a certain eventP(A) = 0 is called an impossible event)()(SnAn
2. 2. Example :Look at the event of dice throwing.The outcomes possibility are 1, 2, 3, 4, 5, or 6.So the sample space is S= {1,2,3,4,5,6}Suppose the outcomes of even spots dice isE={2,4,6}.The number of set E is denoted by n(E),so n(E)=3
3. 3. We use the way as follow:S= {1,2,3,4,5,6} , so n(S) = 6E= {2,4,6} , so n(E)= 3P(E)= 2163)()(SnEn
4. 4. EXERCISEthere is a dice that will betossed. Determine theprobability of appearing:a. 2b. Numbers in a dice thatless than 4c. 7d. 1, 2, 3, 4, 5, or 6
5. 5. Expected frequency of an event is a probabilitythat is done in many times. If A is an event ofan experiment and this experiment is done ntimes then the probability of event A in nexperiments is :Expected frequencynAPAFh )()(
6. 6. Example :1. A coin which consists of the number side and the picture sidetossed 100 times. How many the probability of appearing numberside?Answer : If the coin is tossed 1 time, the probability of appearingpicture side is 1 / 2. Because the probability of appearing of pictureside for 1 time tossed is 1 / 2, then for tossed 100 times, we will get:5010021)()()(AFnAPAFhh