The number will most likely be between the largest range.

A. 0 and 3/20 --> range 3/20;
B. 3/20 and 4/20 --> range 1/20;
C. 4/20 and 5/20 --> range 1/20;
D. 5/20 and 6/20 --> range 1/20;
E. 6/20 and 10/20 --> range 4/20.

Answer: E.
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I converted the fractions to decimals and checked the range.

A) 0 and 0.15 > 0.15
B) .15 and 0.2 > 0.05
C) 0.2 and 0.25 > 0.05
D) 0.25 and 0.3 > 0.05
E) 0.3 and 0.5 > 0.2

E covers the largest range. Hence the ans is E.

the answer should be E, since the larger range the larger probability of choosing a number from that range

Good question.

Deduct the fractions from each other to determine the largest gap and thus largest range.
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Nice concept is used . the number is most likely to be available in the largest range

Since this a probability question, it would be a smart way to look at the fractions given in the options in terms of percentages. For example, the fraction \(\frac{3}{20}\) given in option A represents 15%. Therefore, when we pick a number from 0 and 1, the probability that it is between 0 and 0.15 is fairly low.

Going by this approach, we can work out the percentages related to the fractions given in every option.
Option B – \(\frac{3}{20}\) and \(\frac{1}{5}\) – 15% and 20% which is 5%
Option C – \(\frac{1}{5}\) and ¼ - 20% and 25% which is 5% as well
Option D – ¼ and \(\frac{3}{10}\) – 25% and 30% which is again 5%
Option E – \(\frac{3}{10}\) and ½ - 30% and 50% and we have the largest interval of 20%

Clearly, the biggest interval is the one given in option E. So, if we pick a number between 0 to 1, we can say that the interval given in option E has the highest probability (of the given options) that the number we picked lies in this interval.

The correct answer option, therefore, is E.

Hope that helps!
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make all the base same, in this case 100.

the largest range is between 3/10 and 1/2 making its probability highest.