Question

A mathematics book contains 250 pages . A page is selected at random . what is the probability that the number on the page selected is a perfect square
A.) 7/50
B.) 3/50
C.) 9/27
D.) 4/127​

Answer 1

Answer:

B) 3/50

Step-by-step explanation:

1.Here, Sample space i.e. n(A)= 250

2. We have total 15 perfect squares between 1 and 250.

So, n(A)=15.

3. So, probability that the page selected at random has a perfect square number is

P(A)= n(A)/n(S)

=15/250

= 3/50.

Answer 2

Question :

A mathematics book contains 250 pages . A page is selected at random . what is the probability that the number on the page selected is a perfect square

A.) 7/50

B.) 3/50

C.) 9/27

D.) 4/127

Solution :

$\boxed{ \rm \: Perfect \: squares = 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100 , 121 , 144 , 169 , 196 , 225.}$

$\boxed{ \rm \: so \: total \: number \: of \: pages \: in \: perfect \: square = 15}$

$\: \: \: \purple{: \implies} \rm \dfrac{Frequency \: outcome }{Total \: outcome}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \purple{: \implies} \cancel \dfrac{15}{250}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \purple{: \implies }\dfrac{3}{250}$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline{ \rm \: So \: B \: is \: the \: correct \: answer}$