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Two numbers are randomly selected on a number line numbered from 1 to 9. Match each scenario to its probability.

A. [tex]\frac{4}{9}[/tex]
B. [tex]\frac{1}{6}[/tex]
C. [tex]\frac{1}{12}[/tex]
D. [tex]\frac{1}{9}[/tex]

1. The probability that both numbers are less than 7 if the same number can be chosen twice.
2. The probability that both numbers are odd numbers less than 6 if the same numbers cannot be chosen twice.
3. The probability that both numbers are greater than 6 if the same number can be chosen twice.
4. The probability that both numbers are even numbers if the same numbers cannot be chosen twice.

Sagot :

GinnyAnsweridn
To solve this problem, we need to match each given probability to the corresponding scenario described.

### Step-by-Step Solution:

1. Scenario: The probability that both numbers are less than 7 if the same number can be chosen twice.

- This probability is given as [tex]\(\frac{4}{9}\)[/tex].

2. Scenario: The probability that both numbers are odd numbers less than 6 if the same numbers cannot be chosen twice.

- This probability is given as [tex]\(\frac{1}{6}\)[/tex].

3. Scenario: The probability that both numbers are greater than 6 if the same number can be chosen twice.

- This probability is given as [tex]\(\frac{1}{12}\)[/tex].

4. Scenario: The probability that both numbers are even numbers if the same numbers cannot be chosen twice.

- This probability is given as [tex]\(\frac{1}{9}\)[/tex].

### Assigning Probabilities to Scenarios:

1. The probability that both numbers are less than 7 if the same number can be chosen twice is [tex]\(\frac{4}{9}\)[/tex].

2. The probability that both numbers are odd numbers less than 6 if the same numbers cannot be chosen twice is [tex]\(\frac{1}{6}\)[/tex].

3. The probability that both numbers are greater than 6 if the same number can be chosen twice is [tex]\(\frac{1}{12}\)[/tex].

4. The probability that both numbers are even numbers if the same numbers cannot be chosen twice is [tex]\(\frac{1}{9}\)[/tex].

Thus, the correct matching is:

- [tex]\(\frac{4}{9}\)[/tex]: The probability that both numbers are less than 7 if the same number can be chosen twice.
- [tex]\(\frac{1}{6}\)[/tex]: The probability that both numbers are odd numbers less than 6 if the same numbers cannot be chosen twice.
- [tex]\(\frac{1}{12}\)[/tex]: The probability that both numbers are greater than 6 if the same number can be chosen twice.
- [tex]\(\frac{1}{9}\)[/tex]: The probability that both numbers are even numbers if the same numbers cannot be chosen twice.
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