Probability of An Event


 
 
Concept Explanation
 

Probability of An Event

Definition of Probability: 

Probability is considered as a branch of mathematics that deals with uncertainty. It has been developed out of practical considerations and is used in taking decisions in almost every field. For example, while going out of house on cloudy day we have to take decision whether we should carry an umbrella or not. Such type of decision is taken by taking into consideration the probability of the occurrence of the event.

Let n be the total number of trials and m  be the total number of trials in which the event has happened. The empirical probability P(E) of an event to occur is defined as:

P(E)=frac{Number ;of ;trials; in; which; the; event; happened}{The; total; number; of; trials}=frac{m}{n}

0leq mleq n;;Rightarrow 0leq frac{m}{n}leq 1;;Rightarrow 0 leq P(E)leq 1

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Sample Questions
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Question : 1

The sum of probabilities of all the possible outcomes of an event is always

Right Option : C
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Question : 2

A basket contains 12 oranges, 7 apples, 5 mangoes and 4 bananas. Sukhmeet picks up a fruit without looking at it. The probability that it is an apple is

Right Option : A
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Question : 3

There are 5 green 7 red and 2 black balls. If a ball is picked at random what is the probability that it is a green ball.

Right Option : B
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