Question

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$\large\mathbf{HEY\: QUESTION❤}$



Cards marked with number 3, 4, 5, …, 50 are placed in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the selected card bears a perfect square number.


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Answer 1

Correct Question -:

• Cards marked with number 3, 4, 5, …, 50 are placed in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the selected card bears a perfect square number.

AnswEr-:

$\underline{\boxed{\star{\sf{\blue{ The\: probability\: that \:the\: selected \: card \:bears\: a \:perfect\: square\: number\: = \frac{1}{8}}}}}}$

Explanation-:

$\frak{Given\:-:}\begin{cases} & \sf{Cards \:marked\: with \:number\: 3,\: 4,\: 5,\: …, 50 \:are\: placed\: in \:a \:box .} \end{cases}$

$\frak{To\: Find \:-:}\begin{cases} & \sf{ \:The\: probability\: that \:the\: selected \: card \:bears\: a \:perfect\: square\: number. .} \end{cases}$

Solution-:

• $\underline{\boxed{\star{\sf{\purple{Probability=\frac{Number\:of\:Favorable\:Outcomes}{Total\:Number\: of\:Outcomes}}}}}}$

Here ,

• It is given that the box contain marked with number 3,4,5...,50
• So ,
• Total Number of Outcomes = 48
• Between the numbers 3 and 50 there are six perfect square numbers . I.e. , 4 ,9 ,16 ,25 ,36 and 49 .
• So ,
• Number of Favorable Outcomes = 6

Now ,

• $\implies{\sf{\large {\frac{6}{48} }}}$ [ Devided by 6 ]
• $\implies{\sf{\large {\frac{1}{8} }}}$

Hence ,

• $\underline{\boxed{\star{\sf{\blue{ The\: probability\: that \:the\: selected \: card \:bears\: a \:perfect\: square\: number\: = \frac{1}{8}}}}}}$

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Answer 2

Step-by-step explanation:

$[tex]\large\mathbf{HEY\: ❤}$[/tex]