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First, we need to calculate the total number of ways to select two fruits out of the total of 20 fruits in the basket:
Total number of ways = 20C2 = (20*19)/(2*1) = 190
Next, we need to calculate the number of ways to select an apple and a banana:
Number of ways = (7C1)*(5C1) = (7*5) = 35
Finally, we can calculate the probability of selecting an apple and a banana:
Probability = Number of ways / Total number of ways = 35 / 190 = 7/38
So, the probability of selecting an apple and a banana in fraction form to the lowest term is 7/38.