Which statement is true about POS calculation with POC 0.8 and POD 0.7?

Which statement is true about POS calculation with POC 0.8 and POD 0.7?

• A. POS equals 0.56
• B. POS equals 1.06
• C. POS equals 0.15
• D. POS equals 0.80

Answer: (A)

When two independent probabilistic steps must both succeed, the overall chance of a successful outcome is the product of their probabilities. Here, you need both a correct contact (POC) and a detection (POD). So the POS is POC × POD = 0.8 × 0.7 = 0.56. This fits the idea that you have to succeed in both parts, and the product stays within the 0–1 range. The other numbers don’t represent the combined likelihood: 0.80 would only reflect the first step and ignore the detection step; 1.06 is impossible because probabilities can’t exceed 1; and 0.15 doesn’t equal the product of 0.8 and 0.7.

When two independent probabilistic steps must both succeed, the overall chance of a successful outcome is the product of their probabilities. Here, you need both a correct contact (POC) and a detection (POD). So the POS is POC × POD = 0.8 × 0.7 = 0.56. This fits the idea that you have to succeed in both parts, and the product stays within the 0–1 range.

The other numbers don’t represent the combined likelihood: 0.80 would only reflect the first step and ignore the detection step; 1.06 is impossible because probabilities can’t exceed 1; and 0.15 doesn’t equal the product of 0.8 and 0.7.