You have downloaded 20 new songs onto your phone as shown in the table. Assuming order does not matter, if you randomly play 8 from your new list of downloaded songs, what is the probability, without evaluating, that you will hear: at least one The Weeknd song? I have seen the solution but want to know why the P= 1- 13C20/20C8 formula is used Artist Number of Songs A Tribe Called Red 3 Drake 8 The Weeknd 7 Alessia Cara 2

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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You have downloaded 20 new songs onto your phone as shown in the table.

Assuming order does not matter, if you randomly play 8 from your new list of downloaded songs, what is the probability, without evaluating, that you will hear:

  1. at least one The Weeknd song?

I have seen the solution but want to know why the P= 1- 13C20/20C8 formula is used

Artist Number of Songs
A Tribe Called Red 3
Drake 8
The Weeknd 7
Alessia Cara 2
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