Mathematics, 16.04.2021 21:20 jhanes1983

When two dice are rolled, 36 equally likely outcomes are possible as shown below. (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

Let x be the product of the numbers. Let P be the probability of the desired outcome. Compare the following charts and determine which chart shows the probability distribution for the product of the two numbers.
Chart A
x
2
3
4
5
6
7
8
9
10
11
12
Px
One-sixth
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 12 EndFraction
StartFraction 1 Over 9 EndFraction
StartFraction 5 Over 36 EndFraction
One-sixth
StartFraction 5 Over 36 EndFraction
StartFraction 1 Over 9 EndFraction
StartFraction 1 Over 12 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 36 EndFraction

Chart B
x
1
2
3
4
5
6
8
9
10
12
15
16
18
20
24
25
30
36
Px
StartFraction 1 Over 36 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 12 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 9 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 36 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 9 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 36 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 36 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 36 EndFraction

Chart C
x
2
3
4
5
6
8
10
12
15
18
20
24
30
Px
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 12 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 9 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 12 EndFraction
StartFraction 1 Over 9 EndFraction
StartFraction 1 Over 12 EndFraction
StartFraction 1 Over 12 EndFraction
StartFraction 1 Over 12 EndFraction
StartFraction 1 Over 12 EndFraction
StartFraction 1 Over 18 EndFraction

Chart D
x
1
2
3
4
5
6
8
9
10
12
15
16
18
20
24
25
30
36
Px
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction
StartFraction 1 Over 18 EndFraction

a.
Chart A
c.
Chart C
b.
Chart B
d.
Chart D

Answers: 2

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When two dice are rolled, 36 equally likely outcomes are possible as shown below. (1, 1) (1, 2) (1,...

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