| Case | Report | Response | Condition | Result cost | |||
| Occurrence | Probability | Occurrence | Occurrence | Probability | Cost | Type | |
| Case 1 | Alarm (A) | p1 | Response (R) | Intrusion (I) | p2 | CR | Correct response |
| Case 2 | Alarm (A) | p1 | Response (R) | No Intrusion (NI) | 1 − p2 | Cθ | Error |
| Case 3 | Alarm (A) | p1 | No Response (NR) | Intrusion (I) | p2 | Cλ | Error |
| Case 4 | Alarm (A) | p1 | No Response (NR) | No Intrusion (NI) | 1 − p2 | 0 | No correct response |
| Case 5 | No Alarm (NA) | 1 − p1 | Response (R) | Intrusion (I) | p3 | CR | Correct response |
| Case 6 | No Alarm (NA) | 1 − p1 | Response (R) | No Intrusion (NI) | 1 − p3 | Cθ | Error |
| Case 7 | No Alarm (NA) | 1 − p1 | No Response (NR) | Intrusion (I) | p3 | Cλ | Error |
| Case 8 | No Alarm (NA) | 1 − p1 | No Response (NR) | No Intrusion (NI) | 1 − p3 | 0 | No correct response |