Shanta has 30 cards, numbered 1 to 30. She arranges the cards in ascending order of numbers. Starting with the first card she removes alternate cards -1st, 3rd, 5th and so on, from the collection. From the remaining cards, she removes all alternate cards again starting with the first card. She repeats the same process of removing alternate cards until only 1 card remains. Which of these is the number on the card that remains? A. 15 B. 16 C. 24 D. 30
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Correct option is D)
(a) Since, total cards =30
Total no.'s not divisible by 3=20
∴ favorable outcomes =20
∴ required probability =3020
(b) Numbers are:- 1,2,3,4,5,6,7,8
Total no.'s =8
(i) no. of getting 8=1
∴ favorable outcomes =1
∴ probability=81
(ii) Total odd no.'s from 1 to 8 =4
∴ favorable outcomes=4
∴ probability = 84=21
(iii) Total no.'s greater than 2 from 1 to 8 =6
∴ favorable outcomes =6
∴ probability = 86=43
(iv) Total no.'s less than 9 from 1 to 8 =8
∴ favorable outcomes =8
∴ probability = 88=1
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