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Q.

Which of the following can be the probability of an event?


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a

    -0.04

b

     1.004

c

     18 23  

d

     8 7   

answer is C.

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Detailed Solution

Given to find the probability of an event from the given values.
Let P E  is the probability of the event
Let us check the options for a possible probability of an event.
(3) correct answer
P(E)   can be probability of an event when 0<P E < 1   where, P(E)=  No. of favorable outcomes   Total no of outcomes    Since, 0< 18 23 <1   it can be probability of an event.
(1) incorrect answer: The probability of an event cannot be negative. So, this option is not correct.
(2) incorrect answer: 1.004>1   , this doesn’t satisfy the condition of probability of an event. As probability cannot exceed 1. So, this option is not correct.
(4) incorrect answer: 8 7 >1   , this doesn’t satisfy the condition of probability of an event. So, this option is not correct.
Only 18 23   can be probability of an event.
Hence, option 3 is correct.
 
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