If p is the probability of success of a binomial experiment, what is the probability of failure?
The sum of probabilities of success and failure is always one in a binomial expression.
Answer: The probability of failure, when the probability of success is p, is 1 - p.
Go through the explanation to understand better.
In a binomial experiment, probability of success + probability of failure = 1
Let us suppose the probability of failure to be q. Hence, an expression can be formed as:
⇒ p + q = 1
⇒ q = 1 - p
1) If the probability of success for an event is 1/10, calculate the probability of failure for the same event is:
Probability of failure = 1 - the probability of success
Probability of failure = 1 - 1/10 = 9/10