Question

A binomial experiment consists of 14 trials. The probability of success on trial 7 is 0.84. What is the probability of failure on trial 11?

Answer 1

Answer:

The probability of failure of trial 11 is  $q = 0.16$

Step-by-step explanation:

Generally one the attributes of a binomial experiment is that the probability of success and  failure  is constant every trial so given from the question that the probability of success is 0.84 for trial 7 , then the probability of failure of trial  7 will be evaluated as

            $q = 1 - 0.84$

=>         $q = 0.16$

And from the attribute stated above the probability of failure of trial 11 is  $q = 0.16$

Answer 2

Using the conditions required for a binomial experiment, the probability of success is the same for each trial in the experiment, Hence, the probability of failure on trial 11 will be 0.16

The probability of success, p = 0.84 ; the probability of failure can be expressed as ;

• p(failure) = 1 - p(success) = 1 - 0.84 = 0.16

The probability of success or failure in each and every trial of a binomial experiment is the same and hence, does not change from trial to trial.

Therefore, the probability of failure in the 11th trial is 0.16

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