Question 32(i)
Cardswith numbers 2 to 101 are placed in a box. A card is selected at random. Find the probability that the card has an even number?
Total number of out comes with numbers 2 to 101, n(S) = 100
Let E1 = Event of selecting a card which is an even number = {2,4,6,... 100}.
[in an AP, l = a + (n - 1)d, here l = 100, a = 2 and d = 2 ⇒ 100 = 2 + (n + 1)2 ⇒ (n - 1) = 49 ⇒ n = 50]
∴n(E1)=50
∴ Required probability =n(E1)n(S)=50100=12