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Question

17 cards numbered 1, 2, 3, 4, ... 17 are put in a box and mixed throughly. 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.

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Solution


All outcomes are 1,2,3,4.........,17

Number of all possible outcomes = 17

(1) Let E be the event that the number on the drawn card is an odd number.

The favourable outcomes are 1,3,5,7,9,11,13,15,17

Number of all favourable outcomes = 9

P(getting an odd number ) = 9 over 17

(2) possible outcomes = 17

Favourable outcomes are 5,10,15

Number of favourable outcomes = 3


P(. getting a number divisible by 5) = 3 over 17



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