Visual Summary of sar.lgfl.net Website Content

Objective: 
To use probability calculations to determine the chance of
success of a Search and Rescue mission
Probability lesson
SaRprobability.lgfl.net
Job Requirements
Maths required:
Calculate percentages
Multiply decimals
Calculate area
Identify sequences
Equipment required:
Protractor
Ruler
Pencil
Pen
Rubber
Videos
Introduction to the Coastguard
What challenges does the Coastguard face?
Why is Maths so important in Search and Rescue
activities?
Key terms
POC
 – Probability of Containment - The probability
of the search object being contained in the
boundaries of some area.
POD
 – Probability of Detection - The probability of
detecting the search object.
POS
 – Probability of Success - The probability that
the search object will be found.
POS 
= POC x POD
Example
 
A ship has capsized in a fierce storm at night, and
the search and rescue helicopter team has been
called out to assist.
Based on the poor conditions, and the helicopter’s
endurance of 4 hours, the helicopter can only
search an area of 2 square miles.
Based on the conditions, the POC is 60% and the
POD is only 40%.
Calculate the POS (Probability of Success).
POS = POC x POD 
= 0.6 x 0.4 = 0.24 = 24%
Example (part 2)
The helicopter could choose to fly a little faster and
cover a larger area. However, this will also reduce its
ability to detect objects.
By flying faster, it can cover an area of 8 square miles
which gives a 
POC
 of 80%.
But, it’s new 
POD
 is only 20% as it has less time to
survey each part of the water.
The new 
POS = POC x POD 
= 0.8 x 0.2 = 0.16 = 16%
In this case, the initial search area had a better
chance of finding the ship.
Determining search areas
The 
Coastguard
 has to
develop efficient
search techniques.
The speed a helicopter
travels determines its
ability to detect search
objects.
Distance travelled = 48 squares
x 0.5 miles each = 24 miles
1 mile
Area covered ≈ 4 x 4 = 16
miles
2
0.5 miles
POD tables
The following table shows 
POD
 (Probability of
detection) by a helicopter at various speeds in
various conditions.
This assumes a field of vision of 0.5 miles (as shown
in previous example).
Determining POD
In this example, in clear
conditions we can find
the time taken to
search this area and
the resulting POD.
10mph (100% POD):
24/10 = 2.4 hours
20mph (80% POD):
24/20 = 1.2 hours
40mph (60% POD):
24/40 = 0.6 hours
Distance travelled = 48 squares
x 0.5 miles each = 24 miles
1 mile
Area covered ≈ 4 x 4 = 16
miles
2
Things to consider
Why might the helicopter need to search a larger
area?
What are the benefits and drawbacks of searching
a smaller area?
How could you work out the time taken to cover a
given search area?
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  7. 10mph 20mph 40mph Clear conditions 100% 80% 60% Poor conditions 80% 60% 30% Storm conditions 60% 40% 10% sar.lgfl.net

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