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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