A signal is transmitted over a noisy channel. It is known that the signal will be correctly received with probability 0.797. If 3 copies of the signal are independently sent over this channel, what is the probability that at least one of them is received correctly?
My thought process is, if we are only looking at ONE signal being received correctly, the answer should be 0.797. However, I keep getting the answer wrong. Help!!
p(not correct) = 1 - .797
p(at least one) = 1 - p(none)
p(none) = (1 - .797)^3