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

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
Question : 2

For a certain event A, P(A)=0. Then what is p(Not A)

Right Option : B
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Explanation
Question : 3

What is p(Not E) if p(E)=0.8?

Right Option : C
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Explanation
 
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