There's a new space race and it's not between the U.S. and Russia. It's between private companies and it's attracted multimillionaires and billionaires, like Elon Musk and Jeff Bezos. A less likely player is Las Vegas real-estate tycoon, Robert Bigelow, who, at 73, is making the biggest gamble of his life -- not on rockets -- but on expandable spacecraft, large, lightweight structures that inflate in space, a technology that could dramatically change how humans live and work in zero gravity. NASA has partnered with Robert Bigelow, who's an unconventional figure in the aerospace world. Bigelow [told us that] his grandparents had a close encounter with a UFO. Bigelow: It really sped up and came right into their face and filled up the entire windshield of the car. And it took off at a right angle and shot off into the distance. Lara Logan: Do you believe in aliens? Bigelow: I'm absolutely convinced. Logan: Do you also believe that UFOs have come to Earth? Bigelow: There has been and is an existing presence, an ET presence. And I spent millions and millions and millions ... on this subject. Logan: Is it risky for you to say in public that you believe in UFOs and aliens? Bigelow: I don't give a damn. Logan: Do you imagine that in our space travels we will encounter other forms of intelligent life? Bigelow: You don't have to go anywhere. Logan: You can find it here? Bigelow: It's just like right under people's noses. The FAA confirmed to us that for years, it referred reports of UFOs and other unexplained phenomena to a company Bigelow owns. [Bigelow] told us he's had his own close encounters, but declined to go into detail.