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The access code garage door consists of three digits. Eachdigit can be 0 through

ID: 2914427 • Letter: T

Question

The access code garage door consists of three digits. Eachdigit can be 0 through 9 and each digit can be repeated. (a) Find the number of possible access codes. (b) What is the probability of randomly selecting the correctaccess code? (c) What is the probability of not selecting the correctaccess code. The access code garage door consists of three digits. Eachdigit can be 0 through 9 and each digit can be repeated. (a) Find the number of possible access codes. (b) What is the probability of randomly selecting the correctaccess code? (c) What is the probability of not selecting the correctaccess code.

Explanation / Answer

The access code garage door consists of three digits. Eachdigit can be 0 through 9 and each digit can be repeated. hence total no. of digits = 10 since each digit can be repeated, (a) the number of possible access codes = 10 x 10 x 10 =1000 (b) the probability of randomly selecting the correct accesscode=?? there will be only one correct access code. hence probability = 1/1000 (c) the probability of not selecting the correct access code 1- 1/1000 = 999 / 1000
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