Multiple choice

$17$ cards are numbered $1,2,3.... 16,17$ are put in a box and mixed. A card is drawn at random from the box. What is the probability that the card drawn is odd?

  1. $\dfrac{8}{17}$
  2. $\dfrac{9}{17}$
  3. $\dfrac{1}{2}$

  4. None of these
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B Correct answer
Explanation

Numbers 1 to 17. Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15, 17. There are 9 odd numbers. Total numbers = 17. Probability = 9/17.

AI explanation

The total number of cards in the box is 17, which is our sample space. The odd numbered cards between 1 and 17 are 1, 3, 5, 7, 9, 11, 13, 15, and 17, resulting in 9 favorable outcomes. The probability is calculated as the number of favorable outcomes divided by the total number of outcomes. Thus, the probability of drawing an odd card is 9 divided by 17.

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