SOLUTION: A spaceship has five life support systems. each has a 1% chance of failure during a flight. What is the probability that at least one of them will fail?

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Question 382948: A spaceship has five life support systems. each has a 1% chance of failure during a flight. What is the probability that at least one of them will fail?
Found 2 solutions by edjones, CharlesG2:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
.99^5=.951 probability none will fail.
1-.951=.049 probability at least one will fail.
.
Ed

Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
A spaceship has five life support systems. each has a 1% chance of failure during a flight. What is the probability that at least one of them will fail?

1 - (no failures)
probability no life support systems will fail is the product of
the 5 probabilities for no failure
1 - (0.99 * 0.99 * 0.99 * 0.99 * 0.99)
1 - 0.9509900499
0.0490099501
4.9 % rounded to tenth of a %