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Which of the following is a binomial experiment?
Rolling a six-sided number cube 24 times and recording if a 4 comes up
Rolling a six-sided number cube and recording the number until a 4 comes up
Rolling a six-sided number cube and recording the number until an even number comes up
Rolling a six-sided number cube 24 times and recording the number that comes up

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The answer on E2020 is A: Rolling a six-sided number cube 24 times and recording if a 4 comes up.

Answer with explanation:

An experiment is said to be binomial, if it has n number of trials,and out of n trials,when each trial is performed Independently, there are only two possible outcomes,one Success and other will be failure.

In option A,  

Number of trials = 24,which is fixed.

Success= getting 4,when a die is rolled.

Failure = Getting ,number other than,4 , that is , 1,2,3,5,6.

So, This is Binomial Experiment.

In Option B,

Number of trials is not fixed.So, This is not Binomial Experiment.

In Option C

Number of trials is not fixed.So, This is not Binomial Experiment.

In Option D

Number of trials = 24

But, there are more than two possible outcomes.So,this is not a Binomial Experiment.

Correct Option : A

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