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

In a bouquet, there 5 red roses, 6 white roses and 4 pink roses. Cheshtha picks up a rose without looking at it. The probability that its a red rose is

Right Option : B
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Question : 2

In a cricket match, a batsmen hits the boundary on 4 out of 25 balls he plays. The probability that he hits the boundary on a ball he plays is

Right Option : B
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Question : 3

The record of a weather station shows that out of the past 300 days, its weather forecasts were correct 170 times. What is the probability that on a given day it was correct ?

Right Option : A
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Explanation
 
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