Solve the problem.
-A spinner marked off in five equal-sized regions, numbered 3, 4, 5, 6, 7, is spun twice. Let the random variable X be the sum of the numbers of the regions where the pointer stops.
(a) Find the set of possible outcomes
(b) Create a probability bar graph for X.
A) (a) $\{ 6,7,8,9,10 \}$ (b)
B) (a) $\{ 6,7,8,9,10,11,12,13,14 \}$ (b)
C) (a) $\{ 6,7,8,9,10,11,12,13,14 \}$ (b)
D) (a) $\{ 6,7,8,9,10,11,12,13,14 \}$ (b)

Question

Solve the problem.
-A spinner marked off in five equal-sized regions, numbered 3, 4, 5, 6, 7, is spun twice. Let the random variable X be the sum of the numbers of the regions where the pointer stops.
(a) Find the set of possible outcomes
(b) Create a probability bar graph for X. 
A) (a) $\{ 6,7,8,9,10 \}$ (b) 
B) (a) $\{ 6,7,8,9,10,11,12,13,14 \}$ (b) 
C) (a) $\{ 6,7,8,9,10,11,12,13,14 \}$ (b) 
D) (a) $\{ 6,7,8,9,10,11,12,13,14 \}$ (b)

Quizplus · Accepted Answer

(a) The smallest possible sum of two spins is $3+3=6$ and the largest is $7+7=14$, so the set of possible outcomes is $\{6,7,8,9,10,11,12,13,14\}$.
(b) To create a probability bar graph for X, we need to find the probability of each possible sum. We can do this by listing all possible outcomes and counting how many times each sum appears.

| Outcome | Sum | Probability |
|---------|-----|-------------|
| 3,3     | 6   | 1/25        |
| 3,4     | 7   | 2/25        |
| 3,5     | 8   | 3/25        |
| 3,6     | 9   | 4/25        |
| 3,7     | 10  | 5/25        |
| 4,4     | 8   | 2/25        |
| 4,5     | 9   | 4/25        |
| 4,6     | 10  | 6/25        |
| 4,7     | 11  | 4/25        |
| 5,5     | 10  | 3/25        |
| 5,6     | 11  | 4/25        |
| 5,7     | 12  | 3/25        |
| 6,6     | 12  | 2/25        |
| 6,7     | 13  | 1/25        |
| 7,7     | 14  | 1/25        |

The probability bar graph for X is shown in option C.

Solve the Problem {6,7,8,9,10}\{ 6,7,8,9,10 \}{6,7,8,9,10} (B) B) (A) {6,7,8,9,10,11,12,13,14}\{ 6,7,8,9,10,11,12,13,14 \}{6,7,8,9,10,11,12,13,14}

Solve the Problem $\{ 6,7,8,9,10 \}$ (B)

B) (A) $\{ 6,7,8,9,10,11,12,13,14 \}$