Probability of Event not Happening


 
 
Concept Explanation
 

Probability of Event not Happening

Probability of Event Not Happening

Suppose a random experiment results in n equally likely outcomes out of which m are favorable to the occurrence of an event A,Then the number of unfavorable outcomes will be:

Number of unfavorable outcomes = Total number of Outcomes - Number of favorable outcomes = n - m

If we denote the probability of occurrence of event A by P(A), then the probability of not occurrence of the event is denoted by P(A')

 P(A^I)=frac{Number; of; unfavourable; outcomes}{Total; number ;of; outcomes}=frac{n-m}{n}

P(A^I)=frac{n}{n}- frac{m}{m}=1-frac{m}{n}= 1-P(A)

As; 0leq P(A)leq 1;;Rightarrow 0 leq P(A^I)leq 1

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Sample Questions
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Question : 1

If the probability of Shreyan's passing his exam is 5/7, what is the probability of he being failed ?

Right Option : B
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Question : 2

In a box, there are 5 green and 7 blue marbles. A marble is drawn from the box. Find the probability of getting a non green marble.

Right Option : C
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Question : 3

In a box, there are 5 nestle and 18 dairy milk chocolates. Mohan picks up a chocolate without looking at it.The probability that it is not a dairy Milk Chocolate.

Right Option : A
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Explanation
 
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