According to new work published recently the TRAPPIST-1
planets could have an atmosphere hospitable to life as we know it. Could that
life be intelligent and technological if it is there?  Sadly, that is not
likely.    At less than 50 light years away we have had radio technology long
enough that we would have heard something from them by now.  There could have
been two way communications by now and there haven’t been.  The real
significance of these planets is that they could be the best extra solar
candidates for human colonization. (Gillon, et al. n.d.)  I also give a break down of why the habitability of multi star solar systems, as seen in a TV show like "Firefly" isn't possible.

What bodes in favor of intelligent life is that we have
confirmed rocky planets, and a good idea of the possible atmospheres at the
temperatures that would prevail for their habitable zone orbits.   We don’t
know if these planets are more like Mars, Venus or Earth yet. 

The three legged stool of finding
intelligent life allows us to make a very optimistic back of the envelope calculation
of the odds of intelligent life on a planet. 

As the figure illustrates a stool needs three strong legs to
stand.  Right now the case of intelligent life in the solar system TRAPPIST-1
is like a stool with two and a half legs at best.  The evidence does not
support such a conclusion not even by half.   Right now what we know about
those planets is that they are not hydrogen rich gas giants.   What we need to
know is specifically what their atmospheres do contain.

Atmosphere is cirtical

To say we have found life, at interstellar distances, with
current technology and our understanding of biology requires that the life be
Earth like.  Earth like life would have a signature we could recognize.  Life
as we don’t know it could be right in our face, but since we don’t know it we
would not detect it.  So we need a atmosphere that has a spectrum indicative of
the mix of gasses we have here on Earth.  This is a mix of gasses that is not
likely without life.  Finding an oxygen rich atmosphere with certain amounts of
carbon dioxide, methane, ammonia etc. would indicate life.    Finding such an
atmosphere with added impurities and complex carbon molecules similar to ones
we use in our technology would indicate intelligent life, even if that life did
not yet use radio. 

Radio is crucial.

That said, without some signs of radio technology being used
we can rule out intelligent technological life.  Radio requires an
understanding of the electromagnetic force.  It is likely that any civilization
that develops will for a time use radio for long range communications
exclusively and even if they had most of their planet wired with fiber optics would
still use many weak transmitters for short mobile point to point
communications.  A well-developed civilization would use long range, high power
transmissions for one thing that no wire can substitute for …. High speed data
links between the home planet and colonies on other bodies in their own solar
system.  It is possible a civilization could use some form of laser technology
for this, but radio would likely still be part of the mix of technologies they
use.  (Similar to how we use cable and satellite TV on Earth.)

Distance is Key to this case.

The fact that the TRAPPIST-1  system is 40 light years away
means if there was a civilization there blasting out radio signals we would have
heard them by now.  They would have been able to watch the “Beverly Hillbillies”
and “Barnaby Jones” by now.  We would’ve seen their broadcast of “Quizblorg Quizblorg”
by now.   We would have at least some non-random noisy static filled signal
from them.

Yes, it is possible that a civilization could completely
replace radio with an optical laser based transmission technology.  There are
just some applications where the Omni directionality of radio would not be
replaced.  Even many small low power transmitters would result in a periodic
variation in the white noise from such a solar system which would correspond to
an Earth like rocky planet with a reasonable day length.  For the planet to be
Earth like it would have a variation of land and water.  When the continents
are facing us we would see more noise when the oceans faced us we would see
less noise.   If SETI has looked for these kind of indications and not found
them that’s good enough for me.  If they have only looked for the “Hailing
signal” on the 21 cm hydrogen line, a “tuning fork like signal” which would indicate
a purposeful reach out to us. 

You see above that under “radio” I have scored it as 0. 
Zero because there is not even evidence available to me which would satisfy me
that there is something intelligent there.  I could be wrong.  Right now my
back of the envelop calculation indicates a 42.7% chance of intelligent life.  Which
the way I reckon it is a very BAD CHANCE of intelligent life there …
but I could be wrong. 

To put it more directly there is a 57.3% chance there is
nothing more intelligent than a beaver or a whale living around Trappist-1 if
there is anything there at all.

It’s not as if we have sent a probe to look at that solar
system up close.   So, anyone who says the chance is less than 1% or anything
like that, as if this stars was chosen at random, and the data we have did not
exist, is not doing good science.   Good science assumes little, and has strong
reasons for assumptions.  The fact that there are rocky planets there and they
are in the habitable zone and the atmospheric study that has been undertaken
mean something. 

Without any radio data, even an incidental reception from 40
light years away, we can be pretty sure there is no intelligent life there.

At least not until we humans colonize the place.

A word on intelligent life, even being transplanted, in a
multi star system, a la “Firefly”, as opposed to a single star system like
TRAPPIST-1.  We are not likely to find even one habitable planet in such a
solar system (Like
this)  and for reasons of orbital stability it would not be wise to move
there. (Worth and Sigurdsson n.d.)

While we have found some stars with planets in the orbital
stability zones of such star systems.  Finding just the right combination for
both orbital stability and habitability even with terraforming is not likely.  It
would be more like a bunch of planets orbiting one star much like our own solar
system with other stars orbiting a significant distance away.  At closest approach
at least hundreds of times the distance from the Sun to the Earth.   Much more
like several very close by solar systems than one big solar system.  Consider
Alpha Centauri A and B along with Proxima Centauri.  That is the closest real
life analogue for such a system and so far there are no confirmed, not retracted,
detections of extra solar planets in this system.  Not gas giants, not rocky
planets, nothing.  Such are intensely sought after but so far the
Alpha Centauri System, a real life “Verse” type solar system of three stars. 

References

Gillon, Michaël, Emmanuël Jehin, Susan M. Lederer, Laetitia Delrez, Julien de Wit, Artem
Burdanov, Valérie Van Grootel, et al. n.d. "Temperate Earth-sized planets
transiting a nearby ultracool dwarf star." Nature.
doi:10.1038/nature17448 .

Worth, R,
and S Sigurdsson. n.d. "Effects of Proxima Centauri on Planet Formation in
Alpha Centauri." http://arxiv.org/abs/1607.03090.