NCERT Class 10 Mathematics Formula CBSE Board Sample Problems Part 9 (For CBSE, ICSE, IAS, NET, NRA 2023)

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Probability

 S. no Terms Description 1 Empirical probability It is a probability of event which is calculated based on experimentsEmpirical ProbabilityExample:A coin is tossed 1000 times; we get 499 times head and501 times tail,So empirical or experimental probability of getting head iscalculated asEmpirical probability depends on experiment and different will get different values based on the 2 Important point about events If the event A, B, C covers the entire possible outcome in the experiment. Then, 3 Impossible event The probability of an event (U) which is impossible to occur is 0. Such an event is called an impossible eventP (U) = 0 4 Sure or certain event The probability of an event (X) which is sure (or certain) to occur is 1. Such an event is called a sure event or a certain eventP (X) = 1 5 Probability of any event Probability of any event can be as
 S. no Terms Description 1 Theoreticalprobability The theoretical probability or the classical probability of the event isdefined asProbability P (E) = 2 Elementary events An event having only one outcome of the experiment is called an elementary event.“The sum of the probabilities of all the elementary events of an experiment is 1.”i.e.. . If we three elementary event A, B, C in the experiment , thenP (A) + P (B) + P (C) = 1 3 Complementar y events The event , representing ‘not A’ , is called the complement of the event A. We also say that A and A are complementary events. Also 4 Sure or certain event The probability of an event (X) which is sure (or certain) to occur is 1. Such an event is called a sure event or acertain eventP (X) = 1 5 Probability of any event Probability of any event can be as