Mathematical or Classical definition of Probability.

1.	Mathematical or Classical definition of Probability.
Answer» Suppose U is a sample space of a random experiment and the total number of exhaustive, mutually exclusive and equiprobable elementary outcomes of it are n. If m (0 ≤ m ≤ n) outcomes out of n outcomes are favourable to the occurrence of an event A then, the probability of the event A is defined as m/n. If we denote the probability of event A by the symbol P (A) then, \(P (A) = \frac{m}n. Thus, P (A) = = \frac{Number \,of\, favourable \,outcomes\, of \,event A}{ Total \,number \,of \,mutually exclusive, exhaustive \,and equiprobable \,outcomes \,of \,sample \,space }\)

Answer»

Suppose U is a sample space of a random experiment and the total number of exhaustive, mutually exclusive and equiprobable elementary outcomes of it are n. If m (0 ≤ m ≤ n) outcomes out of n outcomes are favourable to the occurrence of an event A then, the probability of the event A is defined as m/n. If we denote the probability of event A by the symbol P (A) then,

\(P (A) = \frac{m}n. Thus, P (A) = = \frac{Number \,of\, favourable \,outcomes\, of \,event A}{ Total \,number \,of \,mutually exclusive, exhaustive \,and equiprobable \,outcomes \,of \,sample \,space }\)

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