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 m≥0 , n>0, m≤nFollowing 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)=mn≤1⇒m≤n 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. ⇒m≥0 , n>0, m≤n Thus, the correct option is B.

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