contestada

In a New York State daily lottery game, a sequence of five digits (not necessarily different) in the range 0-9 are selected at random. Find the probability that all five are different.

Respuesta :

Using it's concept, it is found that there is a 0.3024 = 30.24% probability that all five are different.

What is a probability?

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

In this problem:

  • Considering that we want the numbers to be different, the number of desired outcomes is 10 x 9 x 8 x 7 x 6.
  • The number of total outcomes is [tex]10^5[/tex].

Hence, the probability is given by:

[tex]p = \frac{10 \times 9 \times 8 \times 7 \times 6}{10^5} = 0.3024[/tex]

0.3024 = 30.24% probability that all five are different.

More can be learned about probabilities at https://brainly.com/question/14398287