At a certain car dealership, the probability of selecting a car of red

From the information, we can draw the matrix as

Red Car = 1/6
Not Red Car = 5/6
Model X = 5/13
Not Model X = 8/13

Taking an integer value that could satisfy all the above and ease calculation. For e.g. total cars = 78

Red Car = 13
Not Red Car = 65
Model X = 30
Not Model X = 48

Now the question wants us to find what can NOT be the probability of selecting a car, which is either of red color or X model or both

=> Out of a total of 78 cars, the probability of selecting a car, which is either of red color or X model or both is
(13 + 30 - Both Red and Model X) / Total Cars
=> (43 - Both Red and Model X) / 78

If we consider that there was no overlap (Both Red and Model X = 0) we would get the maximum probability of selecting a car with such a probability
=> the maximum probability = 43/78 ≈ 7/13
and considering the complete overlap i.e. Both Red and Model X = 13
=> the minimum probability = 30/78 = 5/13

The probability should fall between 5/13 and 43/78

Out of all the answer choices, only 3/8 does not fall within this range and hence should be the answer

IMHO Option A