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Algebra1: Probability of Favourable Elementry Events
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Probability: Favourable Elementry Events
An elementry event is said to be favourable to a compound event A, if it satisfies the definition of the compound event A. In other words an elementry event E is favourable to a compound event A, if we say that the event A occurs when E is an outcome of a trial.
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Example: What is the probability that a number selected from the the numbers 1,2,3, ..., 20 is a prime number, when each of the given numbers is equally likely to be selected?
Soultion: Out of 20 numbers 1, 2, 3, ..., 20 one number can be chosen in 20 ways.
Total number of elementry events = 20.
The number selected will be a prime number if it is chosen from the numbers
2, 3, 5, 7, 11, 13, 17, 19.
Favourable number of elementry events = 8
Hence, required probability = 8/20 = 2/5
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