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

Option A: is  a Binomial Experiment.

     Rolling a six-sided number cube 24 times and recording if a 4 comes up.

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

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step-by-step explanation: