Question

3. 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 1

Total Number of Cards= 50-2=48

The perfect square number between 3-50 are-4,9,16,25,36,49= 6 perfect squares.

Probability= Number of Perfect squares/Total number of cards

=6/48

=1/8(Answer)

Answer 2

Answer:

• It is given that the box contain marked with number 3,4,5,.......,50
• So, total number of outcomes is 48=n(S)
• Between the numbers 3 and 50, there are six perfect square ,i.e., 4,9,16,25,36 and 49
• ⇒Number of favourable outcomes=6=n(E)
• ⇒ Probability that a card drawn at random bears perfect square=

$\frac{no.of \: favourable \: outcomes}{total \: no.of \: outcomes} = \frac{n(e)}{n(s)}$

$= \frac{6}{48}$

$= \frac{1}{8}$