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# If a number between 0 and 1 is selected at random, which of

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Re: If a number between 0 and 1 is selected at random, which of [#permalink]
the answer should be E, since the larger range the larger probability of choosing a number from that range
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Re: If a number between 0 and 1 is selected at random, which of [#permalink]
Good question.

Deduct the fractions from each other to determine the largest gap and thus largest range.
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Re: If a number between 0 and 1 is selected at random, which of [#permalink]
Nice concept is used . the number is most likely to be available in the largest range
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Re: If a number between 0 and 1 is selected at random, which of [#permalink]
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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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Re: If a number between 0 and 1 is selected at random, which of [#permalink]
make all the base same, in this case 100.

the largest range is between 3/10 and 1/2 making its probability highest.
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Re: If a number between 0 and 1 is selected at random, which of [#permalink]
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Re: If a number between 0 and 1 is selected at random, which of [#permalink]
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