## According to data from the American Medical Association, 10% of us are left handed. If three people are randomly selected, find the probabil

Question

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

in progress 0
4 weeks 2021-09-22T11:35:18+00:00 1 Answer 0

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.