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Probability | NDA maths free study material | Study material for IIT JEE , NDA


Probability

⚫What is Probability ?
⚪ Probability is a measure of chance that tells us how likely an event is to happen. It’s always represented as a number between 0 and 1, inclusive.
⚪ In probability , Experiment is refered as action and event can be termed as the required action.
⚪ Suppose Event = E and Sample Space = S , the probability is :
probability formula
⚪ If P(E) = 0 , it means it is null , happening of this event is impossible. Similarly, If P(E) = 1 , it is sure that event will happen (100% chance).
⚪
⚪
         
         
⚪ Independent Probability: Probability of A when A event is independent of B (doesn't depend on B)
⚪ Conditional Probability : The probability of B event , when A events already happens (Event A and B are dependent)

⚪ Probability of happening at least one of independent event :
Let P1 , P2 ....... Pn are the probability of independent events E1 , E2 ...........En
⚪ Probability of happening exactly one of the two independent events.
⚪ Similarly Probability of happening one of the three independent events.
⚪ Law of Total Probability :
Let S is the sample space. E1 , E2 , E3 ......En are exclusive(mutually) and exhaustive , A is an event which is associdated with E1 , E2 , E3 ......En , then

⚪ Bayes Theorem :
Let E1 , E2 ..... , En are mutually exclusice event and exhaustive events , A is the even asssociated with one of the events then
⚪ Binomial Probability :
If there are N tries such that there are only possibility either success or failure , p is the probability of success and q is the probability of failure such that
p + q = 1 , then The probability of success of r tries

Practice set 1 Practice set 2 Practice set 3

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