Question

Simple probability see photo

Answer 1

Sample space for rolling a standard cube:

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

Rolling a two:

`p\text{ = }(1)/(6)`

Rolling an odd number:

`\begin{gathered} Odd\text{ numbers }\lbrace1;3;5\rbrace \\ p\text{ = }(3)/(6) \\ p\text{ = }(1)/(2) \end{gathered}`

Rolling an even number

`\begin{gathered} Even\text{ numbers \textbraceleft2;4;6\textbraceright} \\ p\text{ = }(1)/(2) \end{gathered}`

Rolling a number greater than two:

`\begin{gathered} >2\text{ \textbraceleft3;4;5;6\textbraceright} \\ p=(2)/(3) \end{gathered}`

Rolling a number less than three

`\begin{gathered} <3\text{ \textbraceleft1;2\textbraceright} \\ p\text{ = }(1)/(3) \end{gathered}`

Rolling a two or a five:

`\begin{gathered} 2\text{ or 5 } \\ p\text{ = }(1)/(3) \end{gathered}`

Rolling a one:

`p\text{ = }(1)/(6)`

Rolling a number less than five:

`\begin{gathered} <5\text{ \textbraceleft1;2;3;4\textbraceright} \\ p\text{ = }(2)/(3) \end{gathered}`