The 48 hours used by police as the crutial time limit that a person could be found alive.
Really I was unsuccessful explaining my point. There is no scientific basis to apply "likelihoods", "probabilities", "chances", etc ... from previous (a lot of cases statistics) ...
We have two levels of analysis here: the aggregate level (a lot of cases) and the single case level.
We are dealing with no random events like crimes also. So the probability maths theory can not be used here.
You can not scientifically use results from the aggregate level to explain a single case. Or take a single case to explain the aggregate level.
An example. Suppose we know that 15% of Madrid women are pregnant now. So now 85% are not pregnant. Now you meet a woman from Madrid, María. You can not use the statistics to say nothing about María state. She is not 15% pregnant for sure. She is 100% pregnant or 100% not pregnant.
But you can use the statistics to estimate how many maternity hospitals to build and how many maternity health personnel you will need in the next years. Aggregate level (past) to explain aggregate level (future). You can predict more or less how many women will be pregnant the following years, but not who of them.
To know more on María single case and her actual state, you have to study María single case. You can not assign to her "probability", "likelihood", or "chance". It is not scientific.
So as an example if "in the 90% of the last 2,000 solved past cases of missing people who were missed for more than 48 hours the person was found dead", we can not say the Madeleine has 90% probability of being dead. And that is all.
Or, if 60% of the persons of your age have illness X, have you 60% of illness X? No. you have 100% of illness X, or 0% of illness X. You can not applied statistics collected on a aggregate level to a single case level.
You can not estimate 50/50, 70/30, 30/70, 90/10, 10/90 ... You can not estimate nothing about this unknown fact ... And you can not used past (aggregate of lot of cases) statistics to a single case ... So the only way of knowing is investigating the single case searching for Madeleine ...
In Madeleine's case the police said if Madeleine had been abducted by a lone person for the intention of being abused and murdered, then the liklihood would be that this person would dump Madeleine's body within 48 hours of her being abducted.
There was an extensive search carried out and no body was found.
The likihood then is that the abductor/abductor's have taken her somewhere.
The likihood that Madeleine is alive is much greater due to the fact that no body was ever found and that she had been kept alive long enough to be taken away somewhere.
More of the same. Police are wrong if they applied "likelihoods", or consulting criminal profilers or psychics, by the way.
But yes, Eleanor and Admin ... you can use "hope", "expectation", "wish" ...

And the last to Admin ... You say he/they was/were not amateur(s) ... Do you think a not amateur walking 5-7 minutes with the child in arms before taking a car/van? Only a question

Heri.