A Store-It-All storage facility requires users to enter a four digit code, using numbers 0-9, to get through the gate. You need to get a box of winter clothes from your storage container, but you forgot the code.

How many possible codes are there if the digits cannot be repeated?

What is the probability that you will guess the correct code on your first try?
P(correct code) = ______

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There are 5040 possible codes are there if the digits cannot be repeated.

The probability that you will guess the correct code on your first try will be (1/5040).

What is probability?

The chances of an event occurring are defined by probability. Probability has several uses in games, and in business to create probability-based forecasts.

Total number of digit = 0,1,2,3,4,5,6,7,8,9

Given condition;

Four digit card must be drawn;

The total possible ways there if the digits cannot be repeated will be;

⇒10×9×8×7

⇒5040

The probability that you will guess the correct code on your first try is;

P(A) = n(A)/n(S)

Where,

n(A) is the event has the right code

n(S) is the total possible ways;

P(A) =1/5040

Hence the total possible ways there if the digits cannot be repeated and the probability that you will guess the correct code on your first try will be 5040 and (1/5040) respectively.

To learn more about probability, refer to the link;

https://brainly.com/question/11234923

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