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17 cards numbered 1,2,3,4, ….., 17 are put in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the card

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17 cards numbered 1,2,3,4, ….., 17 are put in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the card drawn bears (i) an odd number (ii) a number divisible by 5. Select the correct answer from above options

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Correct Answer - `(i) 9/17 (ii) 3/17` Total number of cards = 17. (i) Let ` E_(1)` be the event of choosing an odd number. These numbers are 1,3,5,…., 17. Let their number be n. Then, ` T_(n) = 17 rArr 1 +(n - 1) xx 2 = 17 rArr n = 9`. ` :. P(E_(1)) = 9/17`. (ii) Let ` E_(2)` be the event of choosing a number divisible by 5. Numbers divisible by 5 are 5, 10, 15. Their number is 3. ` :. P(E_(2)) = 3/17`.

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