Question

Adwaith is playing cards with his friend, when he draws a card from a pack of 30 cards numbered from 1 to 30 . What is the probability of drawing a square number?
here are the options
1/6
1/2
3/5
4/30

Answer 1

Given :

• There are 30 cards numbered from 1 to 30 .

To Find :

• Probability of drawing a square number .

Solution :

$\longmapsto\tt{Total\:Cards=30}$

$\longmapsto\tt{Favourable\:Outcomes=5}$

= 1 , 4 , 9 , 16 , 25

Now ,

$\longmapsto\tt\bf{Probability=\frac{No.\:of\:Fav.\:Outcomes}{Total\:No.\:of\:Outcomes}}$

$\longmapsto\tt{\cancel\dfrac{5}{30}}$

$\longmapsto\tt\bf{\dfrac{1}{6}}$

So , The Probability of drawing a square number is 1/6 ...

Option a) 1/6 is Correct ....

_______________________

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

Answer:

$\mathcal\red{AnswEr}$

★ Given :

• There are 30 cards numbered 1 to 30 .

★ To find :

• Probability of drawing a square number .

★ Solution :

$\sf{⟶ Total\: Cards = 30}$

$\sf{⟶ Favourable\: Outcomes = 5}$

$\sf{⟶ 1,4,9,16,25....}$

★ Now ,

$\sf{ Probability = No. \: of \: Favourable \: Outcomes / Total \: no. \: of \:outcomes}$

$⟶\sf\cancel\dfrac{5}{30}$

$\sf{⟶ \frac{1}{6}}$

⟶ So the probability of drawing a square is 1/6 .......

$\boxed{⟶ \frac{1}{6}}$