Question

THERE ARE 40 SLIPS IN A BOWL WITH NUMBERS 1 TO 40 PRINTED ON THEM. ONE SLIP IS DRAWN AT RANDOM FROM THE BOWL. FIND THE PROBABILITY THAT IT IS A PERFECT SQUARE

Answer 1

${PROBABLITY}$

It is the chances or possibilities of happening a condition in an particular situation. It can be from 0 to 1.Where 1 or less than means condition is possible while 0 means condition is impossible. P(E) is used for possible conditions.

${ACCORDING \: TO \: QUESTION }$

Slips are number from 1 -40 in a bowl.

A slip is drawn at random.

We need to find what are thd probability that its a perfect square.

So,

$\boxed{ \mathsf{TOTAL \: CONDITION = 40}}$

$\boxed{ \mathsf{POSS \: CONDITION = 6}}$

$\boxed{ \mathsf{1 , 4 , 9 , 19 , 25 , 36}}$

$\boxed{ \mathsf{PROBABLITY = \frac{POSSIBLE \: CONDITIONS }{TOTAL \: CONDITIONS}}}$

$\mathsf{PROBABLITY = \frac{6}{40}}$

$\boxed{ \mathsf{PROBABLITY = \frac{3}{20}}}$

So, probability of getting a chit with a number that will be a perfect square is $\mathsf{ \frac{3}{20}}$