What is the POS formula?

What is the POS formula?

• A. POS = POC x POD
• B. POS = POC + POD
• C. POS = POD / POC
• D. POS = POC - POD

Answer: (A)

The main idea is that overall success requires two independent steps to both happen: detecting the target and then achieving the desired outcome once detection occurs. If the target is not detected, you can’t proceed to the next step, and if detection occurs but the engagement fails, you still don’t reach success. Therefore, you multiply the chances of each step: POS equals the chance to detect (POD) times the chance the operation succeeds after detection (POC). This product formulation reflects that both conditions are needed for success. Using addition would imply that either step alone could produce success, which isn’t true for a two-step process. Division or subtraction would distort how the probabilities combine, either inflating or misrepresenting the overall likelihood. So the product POS = POC × POD correctly captures the dependency on both steps being successful.

The main idea is that overall success requires two independent steps to both happen: detecting the target and then achieving the desired outcome once detection occurs. If the target is not detected, you can’t proceed to the next step, and if detection occurs but the engagement fails, you still don’t reach success. Therefore, you multiply the chances of each step: POS equals the chance to detect (POD) times the chance the operation succeeds after detection (POC). This product formulation reflects that both conditions are needed for success.

Using addition would imply that either step alone could produce success, which isn’t true for a two-step process. Division or subtraction would distort how the probabilities combine, either inflating or misrepresenting the overall likelihood. So the product POS = POC × POD correctly captures the dependency on both steps being successful.