Answer to Question #223533 in Statistics and Probability for Joesino

Question

The probability of success and failure is 1. What could be the mathematics statistics interpretation of this

Answer 1

We know that the sum of probability of success and failure is always equal to 1. That is,

$$success+failure=1$$

If the probability of success is 1 that means $P(S)=1$ then,

probability of failure $P(F)= 1-1=0$

Vice-versa if the probability of success is 0 that means $P(S)=0$ then,

probability of failure $P(F)=1-0=1$