AshieWolfff17
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A passcode to enter a building is a sequence of 444 single digit numbers (0(0left parenthesis, 0—9)9)9, right parenthesis, and repeated digits aren't allowed. Suppose someone doesn't know the passcode and randomly guesses a sequence of 444 digits. What is the probability that they guess the correct sequence? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac{1}{_{10} \, \text{P} \, _4} 10 ​ P 4 ​ 1 ​ start fraction, 1, divided by, start subscript, 10, end subscript, start text, P, end text, start subscript, 4, end subscript, end fraction (Choice B) B \dfrac{1}{_{10} \, \text{C} \, _4} 10 ​ C 4 ​ 1 ​ start fraction, 1, divided by, start subscript, 10, end subscript, start text, C, end text, start subscript, 4, end subscript, end fraction (Choice C) C \dfrac{_{4} \, \text{P} \, _4}{_{10} \, \text{P} \, _4} 10 ​ P 4 ​ 4 ​ P 4 ​ ​ start fraction, start subscript, 4, end subscript, start text, P, end text, start subscript, 4, end subscript, divided by, start subscript, 10, end subscript, start text, P, end text, start subscript, 4, end subscript, end fraction (Choice D) D \dfrac{\left(_{4} \, \text{P} \, _2\right) \cdot \left(_{4} \, \text{P} \, _2\right)}{_{10} \, \text{P} \, _4} 10 ​ P 4 ​ ( 4 ​ P 2 ​ )⋅( 4 ​ P 2 ​ ) ​ start fraction, left parenthesis, start subscript, 4, end subscript, start text, P, end text, start subscript, 2, end subscript, right parenthesis, dot, left parenthesis, start subscript, 4, end subscript, start text, P, end text, start subscript, 2, end subscript, right parenthesis, divided by, start subscript, 10, end subscript, start text, P, end text, start subscript, 4, end subscript, end fraction

Sagot :

MrRoyal

The question is an illustration of probability, and the probability of guessing the password correctly is 1/5040

How to determine the probability?

The number of digits in the password = 4

Given that each digit cannot be repeated, the total number of password is:

Password = 10 * 9 * 8 * 7

Evaluate

Password = 5040

Only one password can be correct.

So, the probability of guessing the password correctly is 1/5040

Hence, the required probability is 1/5040

Read more about probability at:

https://brainly.com/question/251701

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Answer:

Answer on khan

Step-by-step explanation:

View image leahyandrews
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