Respuesta :

Answer:

The probability of rolling a number less than 6 on 1 roll of a die is

[tex]\frac{5}{6}[/tex] = 0.833is

Step-by-step explanation:

Let

S be the sample space for a rolling of a Die

∴ is total number of outcomes for a rolling of a die are ={ one, two, three, four, five, six} six

i.e { 1,2,3,4,5,6}

∴ n (S) = 6

let A be the event of getting a number less than six

then the possible outcomes are { 1, 2, 3, 4, 5 }

∴ n(A) = 5

To Find:

P (A) = ?

Solution:

we know that probability is given by

[tex]\textrm{probability of the event}=\frac{\textrm{possible outcomes of the event}}{\textrm{total number of outcomes}} \\\\\therefore P(A) = \frac{n(A)}{n(S)} \\\\\therefore P(A) =\frac{5}{6}\\ \\\therefore P(A) = 0.833\\[/tex]