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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 an odd number.

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Question

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 an odd number.

Numerical
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Solution

Total number of cards = 17

 Let  E1 be the event of choosing an odd number.

These numbers are 1, 3, 5, 7, 9, 11, 13, 15 and 17.

∴ P(getting an odd number) = P(E1) = `("Number of outcomes favourable to "E_1)/"Number of all possible outcome"`

Thus, the probability that the card drawn bears an odd number is `9/17`.

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Chapter 19: Probability - EXERCISE 19 [Page 928]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 19 Probability
EXERCISE 19 | Q 12. (i) | Page 928
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