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Presentation On Probability

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Published in: Mathematics
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Presentation on Probability

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  1. Theory of probability Developed by Russian Mathematician A.N. Kolmogorov in 1933 Approaches to Theory of probability 1.Statsistical approach 2. Classical approach
  2. PROBABILITY Probability is a measure of uncertainty of various phenomenon. We can find the probability on the basis of observations and collected data. This is called statistical approach of probability.
  3. Define Random Experiment. An experiment is called random experiment if it satisfies the following two conditions: (i) It has more than one possible outcome. (ii) It is not possible to predict the outcome in advance.
  4. Define Sample Space. The set of all possible outcomes of a random Experiment is called as Sample space. It is denoted by S. Define Sample points: Elements of sample space are referred as Sample points. Define Event. A subset of the sample space is called an Event.
  5. Types Of Events: Impossible Event: The empty set is called as Impossible Event. Sure Event: The whole sample space is called as Sure Event.
  6. Types of Events: Simple Event: If an event E has only one sample point of a sample space, it is called a simple (or elementary) event. Compound Event: If an event has more than one sample point, it is called a Compound event.
  7. N/A
  8. TWO COINS 22 x 2
  9. THREE COlNS 23 = 2 ? 2 ? 2
  10. ONE DICE 61
  11. 2 3 4 5 6 1 2 3 4 5 6 2 2 2 2 2 2 1 2 3 4 5 6 2 3 4 5 6 4 4 4 4 4 4 2 3 4 5 6 1 2 3 4 5 6
  12. Playing Cards : 52 Black Cards : 26 Red Cards : 26 Spade: 13 Each Club: 13 Dimond: 13 Heart: 13 13 Cards contains 234 5 6 78 9 IO,A,J,Q,K
  13. J,io ddamond cards
  14. N/A
  15. PROBLEMS 2 Faces In each of the following describe the sample space for the indicated experiment. 1 . A coin is tossed one time. 2.A coin is tossed two times. 3.A coin is tossed three times. 4.A coin is tossed four times. 5.A die is thrown one time. 6. A die is thrown two times. 7.A coin is tossed and a die is thrown. 8.A coin is tossed and then a die is rolled only in case a head is shown on the coin.

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