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?
m≥0 , n>0, m≤n
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)=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.