A group of seven musicians includes three violinists and four harpists. An instructor randomly selects one of the musicians to play the first part of a duet and a different musician to play the second part of a duet. Use a sample space to determine whether randomly selecting a

violinist first and randomly selecting a harpist second are independent events.

Question

Mathematics

Paulina Stafford

11 October, 21:40

A group of seven musicians includes three violinists and four harpists. An instructor randomly selects one of the musicians to play the first part of a duet and a different musician to play the second part of a duet. Use a sample space to determine whether randomly selecting a

violinist first and randomly selecting a harpist second are independent events.

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Santino Luna · Answer 1

They are dependent events. Event A is choosing one musician while Event B is choosing another musician. THey are ALL musicians, no matter what instrument they play, we just know that there are 7 musicians in total. Therefore, the events are dependent because after choosing one musician, you would have 6 musicians left, instead of 7.