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Definitions: Experiment and Events (in Hindi)
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Definitions of probability , experiment, random experiment, event, sure event, compound event, certian event, impossible events and much more about sample space

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DURGESH SHARMA
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1. IIT-JEE (main +Advanced) Probability On

2. Def:

3. Def: Experiment:

4. Def: Experiment: An action that can result in one or more possible well defined outcomes.

5. Def: Experiment: An action that can result in one or more possible well defined outcomes. Example: rolling a dice, tossing a coin

6. Def Random Experiment:

7. Def: Random Experiment: An experiment whose outcome cannot be predicted with certainty is called random experiment.

8. Def: Random Experiment: An experiment whose outcome cannot be predicted with certainty is called random experiment. If an experiment is performed many times under similar conditions and outcome each time is not same.

9. Def: Random Experiment: An experiment whose outcome cannot be predicted with certainty is called random experiment. If an experiment is performed many times under similar conditions and outcome each time is not same. Example: tossing a coin

10. Sample space: Set of all possible outcomes of a random experiment. It is denoted by 'S'.

11. Sample space: Set of all possible outcomes of a random experiment. It is denoted by 'S. 1. Tossing a coin then S (H,T]

12. Sample space:Set of all possible outcomes of a random experiment. It is denoted by 'S. 1. Tossing a coin then S=(H,T) 2. Tossing two coins then S [HH,HTTH,TT! 3. Rolling a Dice then S (1,2,3,4,5,6]

13. Event: Subset of a sample space. Example: Tossing a coin 2 times then SHH,HT,TH,TT

14. Event: Subset of a sample space. Example: Tossing a coin 2 times then S-[HH,HTTH,TT! Event A: No. of tails exactly two TT) B: No. of tails atleast one-[HT,TH,TT) C: Atmost one Head HT,TH,TT)

15. Event: Subset of a sample space Example: Tossing a coin 2 times then S-[HH,HTTH,TT Event A: No. of tails exactly two TT B: No. of tails atleast one (HTTH,TTh C: Atmost one Head-(HT,TH,TT) D: No. of tails atmost two (HH,HT,TH,TT)

16. Event: Subset of a sample space. Example: Tossing a coin 2 times then S HH,HT,TH,TT Event A: No. of tails exactly two TT B: No. of tails atleast one [HT,TH,TT] C: Atmost one Head-(HT,TH,TT) D: No. of tails atmost two (HH,HT,TH,TT E: No. of tails more than two-(

17. Sample Space "S" is universal set for a particular experiment. is subset of S and is impossible event.

18. Sample Space "S" is universal set for a particular experiment. is subset of S and is impossible event. S is also a subset of S which is called Sure or Certain Event.

19. Complement of event: The complement of an event 'A' with respect to a sample space S is the set of all elements of 'S which are not in A. It is usually denoted by A', A or AC. Simple event: If an event covers only one point of sample space, then it is called a simple event e.g. getting a head followed by a tail in throwing of a coin 2 times is a simple event

20. Probability

21. Probability: Probability of occurrence of an event A is denoted by P(A) is given by

22. Probability:Probability of occurrence of an event A is denoted by P(A) is given by n(A)

23. Probability: Probability of occurrence of an event A is denoted by P(A) is given by P(A)(S) Ques: Find probability of getting exactly two tails when 2 coins are tossed.

24. Probability:Probability of occurrence of an event A IS denoted by P(A) is given by P(a) CA) m(S) Ques: Find probability of getting exactly two tails when 2 coins are tossed. n(A) 1 n(S) 4 P(A)S Ques: Find probability of getting Atmost one Head when 2 coins are tossed

25. Probability: Probability of occurrence of an event A is denoted by P(A) is given by P(A)(S) n(A) Ques: Find probability of getting exactly two tails when 2 coins are tossed. P(A)A n(A) 1 Ques: Find probability of getting Atmost one Head when 2 coins are tossed. n(A) 3