Find the sample space for the experiment.

You toss a six-sided die twice and record the sum of the results.

S = { (1+1=2), (1+2=3), (1+3=4), (1+4=5), (1+5=6), (1+6=7),

(2+1=3), (2+2=4), (2+3=5), (2+4=6), (2+5=7), (2+6=8),

(3+1=4), (3+2=5), (3+3=6), (3+4=7), (3+5=8), (3+6=9),

(4+1=5), (4+2=6), (4+3=7), (4+4=8), (4+5=9), (4+6=10),

(5+1=6), (5+2=7), (5+3=8), (5+4=9), (5+5=10), (5+6=11),

(6+1=7), (6+2=8), (6+3=9), (6+4=10), (6+5=11), (6+6=12) }

Step-by-step explanation:

By definition the sample space of an experiment "is the set of all possible outcomes or results of that experiment".

For the case described here: "Toss a six-sided die twice and record the sum of the results".

Assuming that we have a six sided die with possible values {1,2,3,4,5,6}

The sampling space denoted by S and is given by:

S = { (1+1=2), (1+2=3), (1+3=4), (1+4=5), (1+5=6), (1+6=7),

(2+1=3), (2+2=4), (2+3=5), (2+4=6), (2+5=7), (2+6=8),

(3+1=4), (3+2=5), (3+3=6), (3+4=7), (3+5=8), (3+6=9),

(4+1=5), (4+2=6), (4+3=7), (4+4=8), (4+5=9), (4+6=10),

(5+1=6), (5+2=7), (5+3=8), (5+4=9), (5+5=10), (5+6=11),

(6+1=7), (6+2=8), (6+3=9), (6+4=10), (6+5=11), (6+6=12) }

The possible values for the sum are 2,3,4,5,6,7,8,9,10,11,12