Question

Which three criteria do binomial experiments meet? there are only two trials. the trials are independent. there are only two outcomes per trial. each outcome is repeatable. the probability of success is the same for each trial?

Answer 1

The trials are independent; there are only 2 outcomes per trial; and the probability of success is the same for each trial.

Answer 2

Answer with explanation:

Binomial Experiment:

In a binomial experiment, if there are x Independent trials, there are only  two possible outcome, one is Success and another one is failure.

The Probability of Success and failure in each trial is same.

Consider For example tossing a die,

Success(S)= Even Number={2,4,6}

Failure(F) =Odd Number ={1,3,5}

$P(S)=\frac{3}{6}=\frac{1}{2}\\\\P(F)=\frac{3}{6}=\frac{1}{2}$

As, you throw the dice 100 times or 1000 times or 10000 times, the Probability of Success and failure in each case is same.And each throw will be independent of another.

The Three criteria that  binomial experiments meet :

1.The trials are independent

2.There are only two outcomes per trial.

3. The probability of success is the same for each trial.