A certain component of an electronic device has a probability of 0.1 of failing. If there are 6 such components in a circuit, what is the probability that at least one fails?

Question

asked Mar 21, 2020 80.4k views

1 Answer

Andrew Paul Simmons · Answer 1 · 2020-03-25T15:05:34+0000

Answer:

The probability of at least 1 failure is 0.46856

Step-by-step explanation:

The probability can be obtained by Bernoulli's formula

Since the probability of faliure is 0.1

The probability that an event occurs at least once in 'n' Bernoulli trails is given by
P(X)=1-(1-p_(fail))^(n)

Applying values we get the faliure probability is calculated as

$P=1-(1-0.1)^(6)\\\\\therefore P=0.46856$