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A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 5 digits long, and that each digit could be a number between 0 and 4. Assume that the hacker makes random guesses.

What is the probability that the hacker guesses the password on his first try? Please report the answer to four decimal places.

Sagot :

varshamittal029

The probability that the hacker guesses the password in first go is

[tex]\dfrac{1}{5^5}[/tex]

While statistics examines the frequency of previous events, probability deals with estimating the possibility of future events.

The primary goal of the theoretical branch of mathematics known as the probability is the investigation of the consequences of mathematical concepts. At its core, statistics is a field of mathematics that seeks to explain observations in the actual world.

Both topics are significant, pertinent, and helpful. However, they are distinct, and appreciating this difference is essential to correctly assessing the applicability of mathematical evidence.

Since sample space has 5⁵ possibilities.
The event space has only one possibility which is to successfully hack the password perfectly.
Hence, the probability is

[tex]\dfrac{1}{5^5}[/tex]

Learn more about probability here-

brainly.com/question/11234923

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