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Question

We know that Probability of an event E, written as
P(E)
=Number of outcomes favourable to E(m)Number of all possible outcomes of the experiment(n).

Which of the following options correctly explains the relationship between m and n?


A

m=n>0

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B

m0 , n>0, mn

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C

m0n

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D

0mn

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Solution

The correct option is B

m0 , n>0, mn


Following two points are worth noticing while checking the relationship between m and n:
1. The probability of occurring of an event can never be more than one.
Hence,P(E)=mn1mn
And, 2. The number of events and the number of possible outcomes can never be negative. Thus, the value of m and n is always greater than 0.
m0 , n>0, mn
Thus, the correct option is B.


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