Question

Express your answer as a fraction in lowest terms or a decimal

Answer 1

Assuming you are rolling a standard 6-sided die with sides numbered 1 to 6, then there are 6 possible outcomes:

`\lbrace1,2,3,4,5,6\rbrace`

now, note that 4 of these outcomes are greater than 2:

`\lbrace3,4,5,6\rbrace`

So the probability of a roll greater than 2 is 4 out of 6, that is:

`P(roll\text{ }>\text{ 2 ) =}(4)/(6)=(2)/(3)`

so that, the correct answer is:

`(2)/(3)`