LOS ANGELES — Trying to finally master the Internet the way it has theme parks or animated films, the Walt Disney Company has redesigned its Web site, Disney.com, for the third time in five years.

The new site, introduced this month and promoted as “cleaner, simpler, more elegant,” is one way Robert A. Iger, Disney’s chief executive, hopes to turn around the company’s gaming, mobile and Internet division after 15 consecutive quarters of losses — some $977 million in total.

Mr. Iger is optimistic about new products, which include an ambitious and unannounced gaming initiative code-named Toy Box. He has promised that Disney Interactive will turn a profit sometime next year. “It’s about time,” he told analysts in May, sounding a bit fed up himself.

But questions abound. Disney has now taken several stabs at creating a thriving Web site, and has vacillated on game strategy. Has the entertainment giant finally solved the riddle of new media? Or is it playing a no-win game on the whiplash-fast Web?