In what year did the Olympics first broadcast domestically on television?

The first domestic television broadcast of the Olympics occurred in 1936 during the Berlin Games. This marked a significant milestone as it was the first time that the Olympic Games were broadcast live to a wide audience, showcasing the advancements in technology and the growing popularity of television as a medium. The event was pivotal in demonstrating how television could bring major sporting events directly into people's homes, thereby changing the way audiences engaged with the Olympics and sports overall.

This context establishes that 1936 is the correct answer, given the historical significance of that year in relation to Olympic broadcasting. The other years listed do not represent events where domestic television broadcasts of the Olympics were available in the same way. For instance, the 1924 Olympics were the first to be held in the Winter format, but television had not yet become a mass medium by that time.