A lock has two buttons: a “0” button and a “1” button. To open a door you need to push the buttons according to a preset 8-bit sequence. How many sequences are there? Sup- pose you press an arbitrary 8-bit sequence; what is the probability that the door opens? If the first try does not succeed in opening the door, you try another number; what is the probability of success?

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The problem relates to filling 8 vacant positions by either 0 or 1 each position ca... View the full answer