Question

A box contains cards numbered 11 to 123. A card is drawn at random from the box.
Find the probability that the number on the drawn card is
(i) a square number
(ii) a multiple of 7

Answer 1

Answer:

(i) 8/113

(ii) 16/113

Step-by-step explanation:

Total number of cards = 123 - 11 + 1 = 113

Find the probability that it is a square card:

Total number of square cards = 8

(16, 25, 36, 49, 64, 81, 100, 121)

P(square card) = 8/113

Find the probability that it is a multiple of 7:

Total number of cards that are a multiple of 7 = 16

(14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 08, 105, 112, 119)

P(Multiple of 7) = 16/113