\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
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Let \(X\) represent the net gain (in dollars) from a game where you pay \(\dollar\)3 to play and roll one fair six-sided die
. You receive a payout equal to the number of dollars shown on the die. Determine the value of \(X\) for each of the following outcomes:
\(X(\textcolor{colordef}{1}) = \)
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
,
\(X(\textcolor{colordef}{2}) = \)
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
,
\(X(\textcolor{colordef}{3}) = \)
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
,
\(X(\textcolor{colordef}{4}) = \)
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
,
\(X(\textcolor{colordef}{5}) = \)
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
,
\(X(\textcolor{colordef}{6}) = \)
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
.
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