Bynoe had played only two first-class matches when he was picked for the West Indies' tour of India and Pakistan in 1958–59.
[1] He had limited success on the tour, with a highest score in the first-class matches of only 76, but was picked for the final Test match, aged 18, when he opened the innings with Gerry Alexander.
In the limited first-class cricket in the West Indies in the late 1950s and early 1960s, Bynoe's appearances were only sporadic and it was 1963–64 when he made his first first-class century, 120 for Barbados against Jamaica.
Again, Bynoe had limited success in the first-class games, but this time he played in all three Tests as the opening partner to Conrad Hunte.
Only in the third match, at Chepauk, Madras (now Chennai), did he make any impact, scoring 48 and 36 and taking his only Test wicket.