Amazon plans a free, advertising-supported streaming television and music-video service, a departure from its strategy of offering video only to members of its $99-a-year Prime service, according to people familiar with the matter. The new service, which could launch in the coming months, likely will feature original series and may include licensed programming, these people said. As part of the project, Amazon has held talks with the creators of “Betas,” a series about a Silicon Valley startup that Amazon produced last year for Prime, these people said. Amazon also plans to offer free music videos with advertising to people visiting its retail website, two of the people said. A search for Bruce Springsteen CDs, for example, might yield an option to watch the “Born in the U.S.A.” video. An Amazon spokeswoman had no immediate comment.