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1. Cards marked with the numbers 2 to 101 are placed in abox. One card is drawn at random. Find the probability thatthe card drawn bears a number which is a perfect cube. ​

Answer»

Given :

  • Cards MARKED with the numbers 2 to 101 are placed in a box.

To Find :

  • Probability of getting a card that bears a number which is a perfect cube.

Solution :

\longmapsto\tt{Total\:Outcomes=100}

\longmapsto\tt{Favourable\:Outcomes=3}

8,27,64

Using Formula :

\longmapsto\tt\boxed{Probability=\dfrac{No.\:of\:Fav.\:Outcomes}{Total\:no.\:of\:Outcomes}}

Putting Values :

\longmapsto\tt\bf{\dfrac{3}{100}}

So , The Probability of getting a perfect cube is 3/100 .

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Probability :

It is defined as CHANCES of occuring or happening of an event.

  • Probability of an event can never be negative.
  • Probability of an event always lies between 0 and 1.

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