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 class there are 7 boys and 9 girls. A student is selected at random for a scholarship. The probability that student is a girl is

Right Option : A
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Question : 2

In an election, there are 135 male candidates and 105 female candidates. The probability that a female candidate will win the election is

Right Option : D
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Question : 3

if odds in favor  of X Solving a problem are 5 to 6. Find probability for X solving  the problem

Right Option : C
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