Probability of Event not Happening


 
 
Concept Explanation
 

Probability of Event not Happening

Probability of Event Not Happening:

Probability of Happening of Event + Probability of Not Happening of Event = 1

Probability of Event Not Happening = 1- Probability of Happening of Event

Example 1: We have balls number 1 to 9. What is the probability of not picking an even numbered ball.

Sol: Total number of possible outcomes= 9 as there are 9 balls.

Total Number of favourable cases = 1,3,5,7,9 Numberd ball is picked. Therefore the number of favourable  cases is 5

small dpi{120} small P(Not;an;Even; Numbered; ball) = frac{5}{9}

Otherwise as in the earlier example, we have calculated the probability of occuranceas= 4/9

Probability of Not occuring an event

small small 1-frac{4}{9}= frac{9-4}{9} = frac{5}{9}

 

Sample Questions
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Question : 1

What is the possibility of an impossible event.

Right Option : A
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Explanation
Question : 2

The probability of an impossible event is

Right Option : B
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Explanation
Question : 3

A bag contains 4 green 5 black and 10 red balls then probability of getting that one drawn ball is not green is

Right Option : D
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Explanation
 
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