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 odds against y solving the problem are 3 to 7. Find probability for Y not solving problem

Right Option : C
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Question : 2

In a class, there 13 boys and 37 girls.. A teacher has to select a class monitor at random. Find the probability of selecting a boy as a class monitor.

Right Option : A
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Question : 3

Out of 15 balls in a box, 5 are white in color, 3 are red in color, 7 are yellow in color Dhron picks up a ball without looking at it. The probability that it is not a red ball is:

Right Option : D
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