1. ## Describe Sample Space

An experiment involves tossing a pair of dice.

x = green dice outcome

y = red dice outcome

Describe Sample space.

A. listing elements (x,y)

$x = 1,2,3,4,5,6$

$y = 1,2,3,4,5,6$

B. rule method

$x \cup y$ = {x | ????}

Is this on the right track?

2. ## Re: Describe Sample Space

Originally Posted by Jason76
An experiment involves tossing a pair of dice.

x = green dice outcome

y = red dice outcome

Describe Sample space.

A. listing elements (x,y)

$x = 1,2,3,4,5,6$

$y = 1,2,3,4,5,6$

B. rule method

$x \cup y$ = {x | ????}

Is this on the right track?
not really.

An event here consists of the values of a pair of dice, i.e. an ordered pair (x,y).

So your sample space, the set of all possible events, is all the possible ordered pairs.

(1,1), (1,2) .. (1,6)
(2,1), (2,2) .. (2,6)
.
.
(6,1), (6,2) .. (6,6)

or by rule

$\{(x,y)\}: x,y \in \{1,2,3,4,5,6\}$

3. ## Re: Describe Sample Space

I think there is two ways to write the rule method. Another way was shown in the book of the form {x| something here} etc..

4. ## Re: Describe Sample Space

Originally Posted by Jason76
I think there is two ways to write the rule method. Another way was shown in the book of the form {x| something here} etc..
ok then

$\{(x,y)| x,y \in \{1,2,3,4,5,6\} \}$