Question

Cards with numbers 2 to 101 are placed in a box. A card is selected at random. Find the probability that the card has a square number

Answer 1

Total number of out comes with numbers 2 to 101, n(s) = 100

Let E₂ = Event of selecting a card which is a square number

= {4, 9, 16, 25, 36, 49, 64, 81, 100}

= {(2)², (3)², (4)², (5)², (6)², (7)², (8)², (9)², (10)²}

∴ n(E₂) = 9

Hence, required probability = `(n(E_2))/(n(S)) = 9/100`