Question

★ELLOH



$\huge \mathfrak \orange{❥QUESTION}$



A box contains cards numbered 6 to 50. A card is drawn at random from the box. Calculate the probability that the drawn card has a number which is a perfect square.


★ REQUIRED QUALITY ANSWER​

Answer 1

Answer:

Perfect square means a number that can be expressed in form of a product of two integers that are equal.

For examples 9, 16, 25 etc

Between 6 and 50 the perfect squares in between are :9, 16, 25, 36, 49

So total number b/w 6 to 50 which are perfect square is = 5

Total possible outcomes = 45 (number from 6 to 50)

The probability that the drawn card has a number that is a perfect square is = Number of events/Total possible outcomes

= 5/45

= 1/9 is the answer

Step-by-step explanation:

$Hope \: it \: helps \: u...!!$

Answer 2

${\huge{\rm{\underbrace{\underline{Question:-}}}}}$

Q)) A box contains cards numbered from 6 to 50 . A card is drawn at random from the box. Calculate the probability that the drawn card has a number which is a perfect square .

${\huge{\rm{\underbrace{\underline{Answer\checkmark}}}}}$

${\frak{\underline{\underline{\purple\dag\:Before\:Solving:}}}}$

• Probability = It means possibility of occurence of any particular event. It may range from 0 to 1 .

• In this question, we are given with cards, which are numbered.

• To solve this question, we would find the favorable outcomes of the given condition and divide it with the toatal number of outcomes.

• Probability is a unit-less quantity.

${\frak{\underline{\underline{\purple\dag\:Required\:Solution:}}}}$

Total Outcomes = Total cards = 50-6+1 = 45 .

Perfect square numbers between 6 and 50 are : 9 , 16 , 25 , 36 , 49 .

so,

Favorable Outcomes = 5 .

We know -

$\boxed{ \sf{probability _{ \: ( \: event \: )} = \frac{favorable \: outcomes}{total \: outcomes}}}$

Put the values

$\colon \implies \sf \: probability _{ \: ( \: perfect \: sq \: no. \: )} = \frac{ \cancel5}{ \cancel{45}} \\ \\ \colon \implies \underline{\boxed{ \tt{ \pink{probability _{ \: ( \: perfect \: sq \: no. \: )} = \bf\frac{1}{9} }}}}$

So,

The probability that the drawn card has a number which is a perfect square would be $\bf\dfrac{1}{9}$

_____________________________