Question

A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a number greater than 12.

The probability of rolling a number greater than 12 is
(Type an integer or a simplified fraction.)

Answer 1

`P(x>12) = 0`

Explanation:

Given

`x = \{1,2,3,4,5,6,7,8,9,10,11,12\}` --- outcomes

`n(x) = 12` -- sample size

Required

`P(x > 12)`

This is calculated as:

`P(x > 12) = (n(x > 12))/(n(x))`

`n(x>12) = 0` because none of the outcomes is greater than 12:

So:

`P(x > 12) =(0)/(12)`

`P(x>12) = 0`