Blue, Yellow, black, Green, and Red. Those colors were chosen because every nation on the planet has at least one of them in its national flag.
The College of Cardinals.
Red and White
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As per Canon Law, all male Catholics are potential candidates for pope. However, in practicality, only a cardinal is elected. It has been hundreds of years since a non-cardinal has been elected.
these colours were chosen because every flag around the world has at least one of these colours
You do not run for pope. You are chosen as pope by the College of Cardinals. There is no campaign.
Three cardinals are chosen before voting begins in a conclave to be Scrutineers who oversee each vote.
The colours of the Olympic rings were chosen because at least one of those colours appears on each countries flag.
The pope is chosen by the cardinal electors, all cardinals under age 80, in a secret conclave held in Vatican City.
The Arizona Cardinals team colors are Red and White.
Popes are chosen by cardinals in a conclave during which, as a group and as individuals, they pray for guidance of the Holy Spirit to help them choose the new pope.