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astraxan [27]
4 years ago
10

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?
Mathematics
2 answers:
Phantasy [73]4 years ago
7 0
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.
:)
Dvinal [7]4 years ago
4 0
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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