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Gary bought a gift for his friend and is having it gift wrapped at the store. The wrapping paper comes in four patterns: floral, spiral, cartoon character, and plain. For the ribbon, he can choose between red, blue, or green. If Gary randomly selects a paper pattern and a ribbon color, what is the probability that he chooses spiral-patterned paper and a green ribbon?

A. [tex]\frac{1}{12}[/tex]
B. [tex]\frac{1}{3}[/tex]
C. [tex]\frac{1}{6}[/tex]
D. [tex]\frac{1}{4}[/tex]



Answer :

GinnyAnswer
To determine the probability that Gary chooses a spiral-patterned paper and a green ribbon, we need to follow these steps:

1. Identify the total number of possible combinations:
- There are 4 different patterns of wrapping paper: floral, spiral, cartoon character, and plain.
- There are 3 different ribbon colors: red, blue, and green.
- The total number of combinations is calculated by multiplying the number of patterns by the number of ribbon colors:
[tex]\[ \text{Total combinations} = 4 \text{ patterns} \times 3 \text{ ribbon colors} = 12 \text{ combinations} \][/tex]

2. Identify the number of favorable outcomes:
- We are interested in the specific combination of spiral-patterned paper and a green ribbon.
- There is only one such combination (spiral + green).

3. Calculate the probability:
- The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
[tex]\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{12} \][/tex]

Thus, the probability that Gary chooses a spiral-patterned paper and a green ribbon is:

[tex]\(\boxed{\frac{1}{12}}\)[/tex]

So the correct answer is A. [tex]\(\frac{1}{12}\)[/tex].

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