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प्रश्न
A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is
विकल्प
\[\frac{2}{3}\]
\[\frac{1}{6}\]
\[\frac{1}{3}\]
\[\frac{11}{30}\]
उत्तर
Total number of outcomes = 30
The prime numbers from 1 to 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.
So, the favourable number of outcomes are 10.
∴ P(selected number is a prime number) =\[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{10}{30} = \frac{1}{3}\]
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