Day of week, Hajj is most likely to fall on, for the next 10 years :
2019 : Sat
2020 : Thu
2021 : Mon
2022 : Friday**
2023 : Tue
2024 : Sat or Sun
2025 : Thu
2026 : Tue
2027 : Sat
2028 : Thu
Note that in the last 20 years since 2000 Hajj fell on Friday only twice. In 2006 and 2015. The next most likely year is 2022.
In the 80s, Hajj fell on Friday in a year and Saudi gov, distributed gold to every Hajji as gift who performed hajj that year. Two years later the same thing happened again. After then it became very rare that Hajj fell on Friday.
The one and last Hajj of Rasulullah ﷺ fell on Friday.
FAQ : "What's so special about Friday?"
Ans : Don't know.
"The years 2006, 2015 you indicated are wrong."
Maybe. Just approx year which I remember from the top of my head.