## Jagat Chaudhary is teaching live on Unacademy Plus

IIT-JEE (main +Advanced) Probability On

Def:

Def: Experiment:

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

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

Def Random Experiment:

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

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.

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

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

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

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]

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

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)

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)

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-(

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

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.

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

Probability

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

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

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.

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

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