[Gibbon1]

> that a Shuttle loss was a 1 in 100,000 probability

I'm not sure how anyone could say that with a straight face.

Serious events happen with commercial aircraft at a rate of about 1 in 1M. Figure that a rocket is inherently 100X more dangerous. And that the lack of repetitive experience with rockets bumps the risk another 1:100. Meaning you build a lot of aircraft and fly them all the time you get good at knowing where the design holes are. Also consider that each serious failure when mitigated improves the odds of the rest of the fleet. You don't get that when you're only flying a dozen flights a year.

Est risk: 1X10-6 X 100 X 100 gives 1% chance of loss.

Notable the Apollo program flew 15 flights 3 had serious failures[1][2] and 1 near loss event (Apollo 13). For consideration the Saturn V was a well tested conservative design which the Shuttle was not.

[1] Apollo 6 and 13 had early engine shut downs due to failures of the S-II engines.

[2] Apollo 12 lightning strike took out the command module computer.

[InclinedPlane]

The '80s in particular were a time of greater trust in government and greater mass conformity in popular culture. The media by and large did not challenge these absurd estimates, nor did schools, nor did, largely, the public. At the time NASA was near the peak of its reputation. It had achieved the moon landing, it was the middle of the Cold War were NASA's achievements were an important battleground, and so on. Overall the tendency was to simply defer to NASA's judgment.

There was also a bit of self-delusion going on. The Shuttle system was, by design, the backbone of spaceflight (manned and unmanned) in the US at the time. On the one hand you could believe that the Shuttle system was a modern miracle, fully capable of achieving (or nearly so) its design promises of cheap and ubiquitous spaceflight, ushering in a new space age, including the launch and assembly of a next generation space station in the near future, and possibly including the realization of manned missions to Mars within the next decade or two. The competing view, that the Shuttle was a risky launch system that could never achieve its design promises even within an order of magnitude, was a vastly depressing (though in retrospect realistic) one. Holding that view meant that we would have to go back to the drawing board and spend maybe another decade building a new launch system that would reset us back to the way things were in the 1960s, and then we'd have to slowly crawl our way toward incremental progress. That was a very difficult truth to accept, ironically more difficult the more you were invested in space exploration.

Sometimes reality is a tough pill to swallow.

[Gibbon1]

> There was also a bit of self-delusion going on.

What I think is interesting is how you could judge the success of the Apollo missions. One one hand they succeeded if your willing to ignore the Apollo 1 fire. But as I referenced the four critical failures. I think sober hindsight paints a picture of luck on the ragged edge.

One thing though I I think one needs to be aware of how risk gets amortized over time. Airliners are in heavy service and so the catastrophes due to design and operation holes is atomized over a lot of flights, where the shuttle never really was ever anything more than a few prototypes. Consider Boeing's first three 787's. Boeing planned to sell those but they've been written off. One can guess why.

[TheOtherHobbes]

A much more rigorous analysis was done for the Shuttle program, and the estimate of the risk of vehicle loss turned out to be very close to reality.

There was some coverage of the relatively high risk values in the popular science press well before Challenger happened.

[MR4D]

Are you talking about the analysis after the program, or before? I presume you mean after....