Probability of one of the power plants over heating is 0.15 per day and the…
2023
Probability of one of the power plants over heating is 0.15 per day and the probability of failure of the backup cooling system is 0.11 .If these events are independent.What is the probability of „big trouble‟(i.e . both events taking place)?
- A.
0.35
- B.
0.0185
- C.
0.0165
- D.
0.26
Attempted by 8 students.
Show answer & explanation
Correct answer: C
Solution: For independent events, the probability that both occur is the product of their probabilities.
Calculation: 0.15 × 0.11 = 0.0165
Therefore the probability that both the power plant overheats and the backup cooling system fails (big trouble) is 0.0165, which is 1.65%.