Which of the following is not a binomial experiment?
a. asking 100 people whether or not the like pizza.
b. measuring the height of 100 people to see if they are over 6’1.
c. asking 100 people what their favorite color is.
d. asking 100 people if their favorite color is red.

Answer with explanation:

An experiment is said to be binomial, if number of trials in the experiment is fixed and the experiment has only two possible outcomes,one we will call Success and other Failure.

In option A, B and D,there are fixed number of trials which is equal to ,100 and there are only two possible outcomes in each of the three events,as in Option A, Liking pizza is success, and not liking Pizza is failure

In Option B, Height below ,6.1" is Failure and Height above 6.1' is success,and in Option D, liking red is Success and Not liking red is Failure.

→→Option C

Total number of trials =100,which is fixed.

But there are more than two possible outcomes,because there are more than 2 colors that exist on earth,as suppose, 23 people like red color,40 people like black color, and 37 people like pink color.

So,there are more than two outcomes,which we can't represent in terms of Success and failure.

→→Asking 100 people what their favorite color is is not a binomial experiment.

answer: a and b

step-by-step explanation:

step-by-step explanation: yes