Question

Consider a device with 6 parts. For the device to work properly, at least one of the 6 parts need to work. If each part works with probability p=1/2, what is the probability that the device will work properly?

Answer 1

Probability that the device doesn’t work properly is all parts not working.

That would be 1/2^6 = 1/64

Probability the device works is

1 - probability device doesn’t work

1 - 1/64 = 63/64

63/64 is probability device will work

Hope this helps

~Hoodini