To find the probability that a randomly selected bike has mountain bike tires and is green, we first need to determine the total number of bikes and the number of bikes that fit the criteria.
From the table provided:
- Red bikes with road bike tires: 2
- Green bikes with road bike tires: 5
- Red bikes with mountain bike tires: 4
- Green bikes with mountain bike tires: 3
Now, we can calculate the total number of bikes:
\[ \text{Total number of bikes} = 2 + 5 + 4 + 3 = 14 \]
Next, we find the number of bikes that have mountain bike tires and are green:
- Green bikes with mountain bike tires = 3
Now, we can compute the probability:
\[ \text{Probability} = \frac{\text{Number of green bikes with mountain bike tires}}{\text{Total number of bikes}} = \frac{3}{14} \]
Thus, the probability that a randomly selected bike has mountain bike tires and is green is \(\frac{3}{14}\).
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