Question

A bor contains cards numbered 6 to 50.
A card is drawn at random from
the box. calculate the probablity that
the drawn card has a number which
is a perfect square​

Answer 1

: REQUIRED ANSWER

$\looparrowright$ We know that perfect square means a number that can be expressed in form of a product of two integers that are equal.

$\mapsto$ For examples 9, 16, 25 etc

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

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

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

$\looparrowright$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 Answer :)

Formula used :

$\sf \boxed{\huge \sf \pink{p(e)}} = \: \frac{number \: of \: favourable outcomes}{total \: no \: of \: outcomes}$