Question

An aircraft has three engines A, B and C. The aircraft crashes if all three engines fail. The probabilities of failure are $0.03,0.02$ and $0.05$ for engines A, B, and C respectively. What is the probability that the aircraft will not crash?

• A. $0.00003$
• B. $0.0090$
• C. $0.99997$
• D. $0.90307$

Answer 1

Answer: (C)

$0.99997$

P(aircraft will crash)$=0.03\times 0.02\times 0.05=0.00003$
P(air craft will not crash)$=1-0.00003$$=0.99997$.