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Mathematics

An integer is chosen from integers between 0 and 51, the probability of it to be divisible by 6 is :

  1. 325\dfrac{3}{25}

  2. 425\dfrac{4}{25}

  3. 150\dfrac{1}{50}

  4. 125\dfrac{1}{25}

Probability

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Answer

Integers between 0 and 51 are :

1, 2, 3, ……., 50.

No. of possible outcomes : 50

Integers divisible by 6 between 0 and 51 :

6, 12, 18, 24, 30, 36, 42, 48.

No. of favourable outcomes : 8

P(that a number is divisible by 6) : No. of favourable outcomesTotal no. of possible outcomes=850=425\dfrac{\text{No. of favourable outcomes}}{\text{Total no. of possible outcomes}} = \dfrac{8}{50} = \dfrac{4}{25}.

Hence, Option 2 is the correct option.

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