David Letterman: 'I don't know why they didn't give my show to a woman'

David Letterman doesn't miss late-night television at all — as a matter of fact, he "couldn't care less about" it. Also, he thinks CBS should have given his show to a woman.

"I thought for sure I would," the former "Late Show" host told Tom Brokaw when asked if he misses the day part. "And then, the first day of Stephen's [Colbert] show when he went on the air — an energy left me and I felt like, 'You know, that's not my problem anymore.' And I've kind of felt that way ever since."

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"I devoted so much time to the damage of other aspects of my life," Letterman continued. "The concentrated, fixated, focusing on that — it's good now to not have that. I couldn't care less about late-night television."

"I'm happy for the guys — men and women — there should be more women," he added. "And I don't know why they didn't give my show to a woman. That would have been fine. You know, I'm happy for their success. And they're doing things I couldn't do. So that's great."

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Later, Brokaw poses the question of if CBS asked Letterman's opinion on who should replace him.

"No. Oh, no. No, they didn't ask me about anything," the bearded comic said. "They were just — they were just happy I was going."

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Read original story David Letterman: 'I Don't Know Why They Didn't Give My Show to a Woman' (Video) At TheWrap