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A Number is Selected at Random from the Numbers 1 to 30. What is the Probability that the Selected Number is a Prime Number? - Mathematics

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प्रश्न

A number is selected at random from the numbers 1 to 30. What is the probability that the selected number is a prime number?

विकल्प

  • `2/3`

  • `1/6`

  • `1/3`

  • `11/30`

MCQ

उत्तर

Total number of outcomes = 30.

Prime numbers in 1 to 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.

Number of favourable outcomes = 10.

∴ P(getting a prime number) = `("Number of favourable outcomes")/"Number of all possible outcomes"`

`=10/30 = 1/3`

Thus, the probability that the selected number is a prime number is `1/3`.

Hence, the correct answer is option (c).

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अध्याय 15: Probability - Multiple choice Questions [पृष्ठ ७०६]

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 15 Probability
Multiple choice Questions | Q 6 | पृष्ठ ७०६
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