According to data from the American Medical Association, 10% of us are left handed. If three people are randomly selected, find the probability that they are all left-handed. What probability distribution can we use to answer this question

For each person, there are only two possible outcomes. Either they are left handed, or they are not. The probability of a person being left-handed is independent from other people. So we use the binomial probability distribution to solve this question.

0.1% probability that they are all left-handed.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are left handed, or they are not. The probability of a person being left-handed is independent from other people. So we use the binomial probability distribution 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.

10% of us are left handed.

This means that

If three people are randomly selected, find the probability that they are all left-handed.

This is P(X = 3) when n = 3. So

0.1% probability that they are all left-handed.

step-by-step explanation:

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