Cards marked with numbers 1, 3, 5… 49 are placed in a box and mixed thoroughly. One card is drawn from the box. Find the probability that the number on the card is
Not a perfect square
As the numbers of cards in an AP, with first term a = 1 and common difference d = 2
Let the no of cards be 'n'
Number on nth card = 49
⇒ a + (n - 1)d = 49 [As nth term of an AP = a + (n - 1)d ]
⇒ 1 + (n - 1)2 = 49
⇒ (n - 1)2 = 48
⇒ n - 1 = 24
⇒ n = 25
Total No of cards = 25
Cards having perfect square = {1, 9, 25, 49}
No of cards not having a perfect square = 25 - 4 = 21
We know that,
Probability of an event 
⇒ Probability of getting a card not having a perfect square
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.
