Although it’s hard to be definitive in classifying people as right- or

ahgan3j

ahgan3j

Answered question

2021-11-19

Although it’s hard to be definitive in classifying people as right- or left-handed, some studies suggest that about 14% of people are left-handed. Since 0.14×0.14=0.0196 the Multiplication Rule might suggest that there’s about a 2% chance that a brother and a sister are both lefties. What’s wrong with that reasoning?

Answer & Explanation

pseudoenergy34

pseudoenergy34

Beginner2021-11-20Added 22 answers

In this task, we are interested what is wrong with that reasoning. This reasoning is wrong because the events of handedness of siblings are most likely NOT INDEPENDENT due to a fact that there could be a genetic factor that affects the handedness of siblings (for example, if both parents are lefties, there is a bigger cance that both siblings are lefties, etc.) Since the events are NOT INDEPENDENT, we cannot use the Multiplication Rule to determine the chance that a brother and a sister are both lrfties.
Prioned

Prioned

Beginner2021-11-21Added 11 answers

The events have to be independent to be able to use the multiplication rule, meaning that the probability of being left-handed has to be independent for brother and sister.
However these events are not independent, because the probability of a brother and sister being left-handed will be higher the probability of two unrelated people being left-handed (Think for example of twins). Events are not independent

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