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Elis [28]
3 years ago
13

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 se

quence. How many sequences are there? Suppose 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?
Mathematics
1 answer:
ratelena [41]3 years ago
7 0

Answer:

Step-by-step explanation:

The problem relates to filling 8 vacant positions by either 0 or 1

each position can be filled by 2 ways so no of permutation

= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

= 256

b )

Probability of opening of lock in first arbitrary attempt

= 1 / 256

c ) If first fails , there are remaining 255 permutations , so

probability of opening the lock in second arbitrary attempt

= 1 / 255 .

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1) shifts f(x) 4 units down  = g(x) = 2x-10

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3)<em>When we have to move the function right by 4 units, replace x with (x-4) in the function.</em>

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4) <em>When the function is stretched towards y axis, it means in X direction.</em>

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