What is the probability of a regular die, when rolled, showing a two digit number? Give your answer as a fraction in lowest terms.

Respuesta :

Answer:

[tex]Probability = 0[/tex]

Step-by-step explanation:

Given:

A regular die

Required

The probability of obtaining a 2 digit in 1 roll

First, the possible outcomes has to be listed; This is referred to as Sample Space (S);

The Sample Space is as follows

[tex]S = (1,2,3,4,5,6)[/tex]

[tex]Total, n(S) = 6[/tex]

Let T represent the outcomes showing two digit such that n(T) represent the number of outcomes showing two digit

Since there's no two digit in the sample space;

T = {}

[tex]n(T) = 0[/tex]

The probability is then calculated as follows;

[tex]Probability = \frac{n(T)}{n(S)}[/tex]

[tex]Probability = \frac{0}{6}[/tex]

[tex]Probability = 0[/tex]