Aprobability class has 30 students. as part of an assignment, each student tosses a coin 200 times and records the number of heads. approximately what is the chance that no student gets exactly 100 heads?

17.58% probability that no student gets exactly 100 heads

Step-by-step explanation:

We use the binomial probability distribution twice to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

Probability of a single student getting 100 heads.

The coin is tossed 200 times, so

For each toss, 50% probability of getting heads, so

Then

Approximately what is the chance that no student gets exactly 100 heads?

Each student has a 5.63% probability of getting exactly 100 heads, so

30 students, so

We have to find P(X = 0).

17.58% probability that no student gets exactly 100 heads

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step-by-step explanation: