Question

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

Answer 1

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.

_______________________

Answer 2

$\LARGE\boxed{\textsf{\textbf{Given\::-}}}$

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

• One card is drawn at random.

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$\LARGE\boxed{\textsf{\textbf{To\:Find\::-}}}$

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• Probability that the card drawn bears a number which is a perfect cube ?

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$\LARGE\boxed{\textsf{\textbf{Solution\::-}}}$

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$\Large\underbrace{\underline{\sf{How\:to\:solve\:::}}}$

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• We clearly know that, between 2 and 101 there are 3 perfect cubes i.e, 8, 27 and 64. 8 is cube of 2, 27 is cube of 3 and 64 is cube of 4. So, favorable outcomes = 3 and total number of outcomes = 100. So, let's solve it by using well known formula ::

• $\boxed{\bf{Probability = \dfrac{Favourable\:outcomes}{Total\:number\:of\:outcomes}}}$

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$\underline{\sf{\bigstar\:Putting\:all\:known\:values\:::}}$

$\\ \longrightarrow \:\bf Probability_{(getting\:a\:perfect\:cube)} = \dfrac{3}{100}$

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• Therefore, probability of getting a perfect cube is 3/100.

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$\LARGE\boxed{\textsf{\textbf{Explore\:More\::-}}}$

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• Probability of any event can't be negative. It always lie between 0 and 1.

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L e a r nㅤm o r eㅤonㅤbrainly

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$\underline{\sf{\bigstar\:Question\:::}}$

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There are six red marbles 4 green and 2 white marbles in a box what is the probability of drawing a non white marble

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$\underline{\sf{\bigstar\:Answer\:::}}$

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https://brainly.in/question/40134750

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