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Answer:
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.