contestada

Consider a bicycle lock that is opened by a four digit number d1d2d3d4 where each digit is selected from the numbers 1, 2, 3, 4, 5, 6, 7, 8. What is the probability of guessing the right number at random

Respuesta :

Using the probability concept, it is found that there is a 0.00024 = 0.024% probability of guessing the right number at random.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

  • The right number is one outcome.
  • There are 4 digits, and for each, there are 8 possible outcomes, hence the total number of outcomes is [tex]8^4[/tex].

Then:

[tex]p = \frac{1}{8^4} = 8^{-4} = 0.00024[/tex]

0.00024 = 0.024% probability of guessing the right number at random.

You can learn more about probabilities at https://brainly.com/question/15536019