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Joseph found a cell phone and wants to return it to its owner. the phone requires a 4-digit code to gain access to the contact list. what is the probability that joseph will be able to unlock the phone on his first attempt? (assume that the numbers cannot be used more than one time.)

Respuesta :

Using the permutation formula, it is found that the probability that joseph will be able to unlock the phone on his first attempt is [tex]\frac{1}{5040}[/tex]

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 4 numbers are taken from a set of 10, hence the number of possible permutations is:

[tex]P_{10,4} = \frac{10!}{6!} = 5040[/tex]

Then the probability that he gets the correct number is:

[tex]p = \frac{1}{5040}[/tex]

More can be learned about the permutation formula at https://brainly.com/question/25925367

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