Final answer:
Keith Richards joined the band that would become the Rolling Stones in 1962, inspiring a name change based on the Muddy Waters song 'Rollin' Stone.' This marked the band's beginning as iconic rock musicians.
Step-by-step explanation:
When Keith Richards joined the band the Rolling Stones in 1962, he and the band members decided to change the band's name from a previous iteration. The group was initially formed by Brian Jones as the Blues Incorporated and later as the Rolling Stones.
The name The Rolling Stones was inspired by the Muddy Waters song Rollin' Stone. This change marked the beginning of the band's career as one of history's most famous rock bands. Keith Richards' role as a guitarist and songwriter was instrumental to the band's success and longevity in the music industry.