Question
At a school carnival game, players toss beanbags onto a table with equal-sized squares of different colors. On the table there are:
9 green squares
7 orange squares
2 blue squares
Question content area bottom
Part 1
These statements describe the probabilities for different outcomes of a single beanbag toss that lands at a random location on the table. Select the number that best completes each statement.
The probability that the outcome is green is
A.0.111
0.111
B.0.818
0.818
C.0.389
0.389
D.0.5
0.5
The probability that the outcome is orange or green is
A.eight ninths
eight ninths
B.nine elevenths
nine elevenths
C.one half
one half
D.one ninth
one ninth
The probability that the outcome is not orange is
A.
38.9%
B.
11.1%
C.81.8
81.8
D.61.1
61.1
The probability that the outcome is green isThe probability that the outcome is orange or green isThe probability that the outcome is orange or green isThe probability that the outcome is not orange isThe probability that the outcome is not orange is
9 green squares
7 orange squares
2 blue squares
Question content area bottom
Part 1
These statements describe the probabilities for different outcomes of a single beanbag toss that lands at a random location on the table. Select the number that best completes each statement.
The probability that the outcome is green is
A.0.111
0.111
B.0.818
0.818
C.0.389
0.389
D.0.5
0.5
The probability that the outcome is orange or green is
A.eight ninths
eight ninths
B.nine elevenths
nine elevenths
C.one half
one half
D.one ninth
one ninth
The probability that the outcome is not orange is
A.
38.9%
B.
11.1%
C.81.8
81.8
D.61.1
61.1
The probability that the outcome is green isThe probability that the outcome is orange or green isThe probability that the outcome is orange or green isThe probability that the outcome is not orange isThe probability that the outcome is not orange is
Answers
GPT-4o mini
To calculate the probabilities, we first need to determine the total number of squares on the table:
- Green squares: 9
- Orange squares: 7
- Blue squares: 2
Total = 9 + 7 + 2 = 18 squares
Now we can calculate the required probabilities:
**1. The probability that the outcome is green:**
- Probability of green = (Number of green squares) / (Total number of squares) = 9 / 18 = 0.5
**2. The probability that the outcome is orange or green:**
- Total number of orange or green squares = Number of orange squares + Number of green squares = 7 + 9 = 16
- Probability of orange or green = (Number of orange or green squares) / (Total number of squares) = 16 / 18 = 8 / 9 ≈ 0.889
**3. The probability that the outcome is not orange:**
- Total number of non-orange squares = Total squares - Number of orange squares = 18 - 7 = 11
- Probability of not orange = (Number of non-orange squares) / (Total number of squares) = 11 / 18 ≈ 0.611
### Summary of Answers:
1. The probability that the outcome is green is **D. 0.5**.
2. The probability that the outcome is orange or green is **A. eight ninths**.
3. The probability that the outcome is not orange is **D. 61.1**%.
These calculations match the definitions provided in the statements.
- Green squares: 9
- Orange squares: 7
- Blue squares: 2
Total = 9 + 7 + 2 = 18 squares
Now we can calculate the required probabilities:
**1. The probability that the outcome is green:**
- Probability of green = (Number of green squares) / (Total number of squares) = 9 / 18 = 0.5
**2. The probability that the outcome is orange or green:**
- Total number of orange or green squares = Number of orange squares + Number of green squares = 7 + 9 = 16
- Probability of orange or green = (Number of orange or green squares) / (Total number of squares) = 16 / 18 = 8 / 9 ≈ 0.889
**3. The probability that the outcome is not orange:**
- Total number of non-orange squares = Total squares - Number of orange squares = 18 - 7 = 11
- Probability of not orange = (Number of non-orange squares) / (Total number of squares) = 11 / 18 ≈ 0.611
### Summary of Answers:
1. The probability that the outcome is green is **D. 0.5**.
2. The probability that the outcome is orange or green is **A. eight ninths**.
3. The probability that the outcome is not orange is **D. 61.1**%.
These calculations match the definitions provided in the statements.