Several primitive state lotteries were then commissioned between 17, before a new and comprehensive ban was issued in 1833 (this would last for 138 years).ġ934 – 2011 On-track pari-mutuel betting on horse and dog racing was officially legalised in 1934, and this market has grown from strength-to-strength with the development of Plainridge Park and other racecourses throughout the state. 1719 – 1934 While private lotteries were common in the state throughout colonial history, these entities were banned in 1719 following a shift in public opinion.