question_answer

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:

Total outcomes \[=3,\text{ }4,\text{ }5,......\text{ }50\]

Total no. of outcomes \[=48\]

Possible outcomes \[=4,9,16,25,36,49\].

Let E be the event of getting a perfect square number

No. of possible outcomes \[=6\]

\[\therefore P(E)=\frac{6}{48}=\frac{1}{8}\]