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Sagot :
ANSWER
0.0001984
EXPLANATION
There are 10 possible values for each digit of the passcode to enter the building.
These include: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
So, there are:10 x 10 x 10 x 10 = 10^4 = 10,000 total possible passcodes.
For no repeat passcode
We have: 10 x 9x 8 x7 = 5040 total possible passcodes without repetition.
Probability of guessing correct sequence
Since there is only 1 correct sequence of 4 digits passcode (without repetition) to enter the building
[tex]\begin{gathered} Prob\text{ = }\frac{1}{5040} \\ Prob\text{ = 0.0001984} \end{gathered}[/tex]Hence, the probability that they guess the correct sequence is 0.0001984
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