Statistical or Empirical Probability
If a trial is repeated N number of times under essential homogeneous ..
If a trial is repeated N number of times under essential homogeneous ..Probability concepts and probability theorems
Introduction - In our day to day life, we come across many uncertainty of events. We wake up in the morning and check the weather report. The statement could be 'there is 60% chance of rain today'. This statement infers that the chance of rain is more than that having a dry weather. We decide upon ..
Probability (continued)
Let A and B be any two events associated with a random experiment. The probability of occurrence of event A when the event B has already occurred is called the conditional probability of A when B is given and is denoted as P(A/B..
Probability - I Introduction
Introduction - In our day to day life, we come across many uncertainty of events. We wake up in the morning and check the weather report. The statement could be 'there is 60% chance of rain today'. This statement infers that the chance of rain is more than that having a dry weather. We decide upon ..
Conditional Probability
Conditional Probability - Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is thrown, we are given the information, that the event B has oc..
Conditional Probability - Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is thrown, we are given the information, that the event B has oc..Theorems of Probability
Theorem 1:(Addition Rule of Probability) - If A and B are any two events, th..
Theorem 1:(Addition Rule of Probability) - If A and B are any two events, th..Probability of an Event
So far, we have introduced the sample of an experiment and used it to describe events. In this section, we introduce probabilities associated to the events. If a trial results in n-exhaustive, mutually exclusive and equally likely cases and m of them are favourable to the occurrence of an..
So far, we have introduced the sample of an experiment and used it to describe events. In this section, we introduce probabilities associated to the events. If a trial results in n-exhaustive, mutually exclusive and equally likely cases and m of them are favourable to the occurrence of an..Probability - I Summary
: All the outcomes of a random experiment. Probability of an event: P(A) P(A C ) = Probability of the non-occurrence of A = 1- P(A) Addition Theorem: If A and B are any two events of a random If A, B, C are there events of a random experiment th..
: All the outcomes of a random experiment. Probability of an event: P(A) P(A C ) = Probability of the non-occurrence of A = 1- P(A) Addition Theorem: If A and B are any two events of a random If A, B, C are there events of a random experiment th.. Result
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