An experiment involves tossing a pair of dice.
x = green dice outcome
y = red dice outcome
Describe Sample space.
A. listing elements (x,y)
B. rule method
= {x | ????}
Is this on the right track?
An experiment involves tossing a pair of dice.
x = green dice outcome
y = red dice outcome
Describe Sample space.
A. listing elements (x,y)
B. rule method
= {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
$\{(x,y)\}: x,y \in \{1,2,3,4,5,6\}$