Question

Q.NO.
MARKS
1
A box contains cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square like 4,9....is

Answer 1

Answer:

1/9

Step-by-step explanation:

Perfect square means a number that can be expressed in form of a product of two integers that are equal.

For examples 9, 16, 25 etc

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

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

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

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 is the answer

Answer 2

Solution :-

given that,

→ Total number of outcomes = 6 to 50 = 50 - 6 + 1 = 44 + 1 = 45

and,

→ Total number of favourable outcomes = perfect squares between 6 and 50 = 9 , 16, 25, 36 and 49 = Total 5 .

then,

→ Required probability = Total number of favourable outcomes / Total number of outcomes = 5/45 = 1/9 (Ans.)

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