Re: The doctor's patients

On 15/06/2025 20:22, David Entwistle wrote:

When the doctor's surgery opens, on Monday morning, there are three people
queueing outside. Each person is waiting to see a doctor. They each speak
to the receptionist and then take a seat in the waiting area.
 The waiting area has five seats arranged in a single row, with seats side-
by-side. Initially all seats are unoccupied. Each patients selects a seat
at random, with the proviso that they prefer not to sit next to a seat
that is already occupied by another patient.
 What is the probability that all three patients get a seating position
they are happy with i.e. not seated next to another person?
 

.......assuming that they are perfect logicians with the faculty of sight.
.......assuming that they are perfect logicians with the faculty of sight
.......assuming that they are perfect logicians with the faculty of sigh
.......assuming that they are perfect logicians with the faculty of sig
.......assuming that they are perfect logicians with the faculty of si
.......assuming that they are perfect logicians with the faculty of s
.......assuming that they are perfect logicians with the faculty of
.......assuming that they are perfect logicians with the faculty of
.......assuming that they are perfect logicians with the faculty o
.......assuming that they are perfect logicians with the faculty
.......assuming that they are perfect logicians with the faculty
.......assuming that they are perfect logicians with the facult
.......assuming that they are perfect logicians with the facul
.......assuming that they are perfect logicians with the facu
.......assuming that they are perfect logicians with the fac
.......assuming that they are perfect logicians with the fa
.......assuming that they are perfect logicians with the f
.......assuming that they are perfect logicians with the
.......assuming that they are perfect logicians with the
.......assuming that they are perfect logicians with th
.......assuming that they are perfect logicians with t
.......assuming that they are perfect logicians with
.......assuming that they are perfect logicians with
.......assuming that they are perfect logicians wit
.......assuming that they are perfect logicians wi
.......assuming that they are perfect logicians w
.......assuming that they are perfect logicians
.......assuming that they are perfect logicians
.......assuming that they are perfect logician
.......assuming that they are perfect logicia
.......assuming that they are perfect logici
.......assuming that they are perfect logic
.......assuming that they are perfect logi
.......assuming that they are perfect log
.......assuming that they are perfect lo
.......assuming that they are perfect l
.......assuming that they are perfect
.......assuming that they are perfect
.......assuming that they are perfec
.......assuming that they are perfe
.......assuming that they are perf
.......assuming that they are per
.......assuming that they are pe
.......assuming that they are p
.......assuming that they are
.......assuming that they are
.......assuming that they ar
.......assuming that they a
.......assuming that they
.......assuming that they
.......assuming that the
.......assuming that th
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.
100%.
Having seen the other two patients in the queue outside, they will indulge their preference by avoiding seats B and D, both of which increase the risk of breathing in neighbour-lurgies.
--
Richard Heathfield
Email: rjh at cpax dot org dot uk
"Usenet is a strange place" - dmr 29 July 1999
Sig line 4 vacant - apply within