The access code for a gym lockergym locker consists of three digits. each digit can be any number from 00 through 77, and each digit can be repeated. complete parts (a) through (c). (a) find the number of possible access codes. (b) what is the probability of randomly selecting the correct access code on the first try? (c) what is the probability of not selecting the correct access code on the first try?

a) There are 8 possible values for each of the 3 digits, so the number of possible codes is
.. 8 * 8 * 8 = 512

b) The probability that a randomly selected code is correct is 1/512.

c) The probability it is not correct is 1 -1/512 = 511/512.

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dizonc009 dizonc009 · Answer 2 · 2018-03-04T15:38:50+01:00

There are 8 possible numbers that can be inserted on the 1st, 2nd, and 3rd number of the code. Since the number can be repeated,
,
1) the number of possible access codes is 512.
Solution:
8 x 8 x 8 = 512
,
2) the probability of randomly selecting the correct access code on first try is 1/512.
.
sample space = 512
there is only 1 correct combination of numbers on the 512 possible codes so the answer is 1/512.
,
3) the probability of not randomly selecting the correct access code on first try is 511/512.
.
sample space = 512
there are 511 incorrect codes on the 512 possible codes so the answer is 511/512.
:)