Multiple choice

An urn contain 20 tickets numbered 1 to 20. A ticket is drawn and then another ticket is drawn without replacement. The probability that both the tickets show odd number is.......

  1. 9/38

  2. 1/8

  3. 1/4

  4. 5/8

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A Correct answer
Explanation

There are 10 odd numbers (1, 3, 5, 7, 9, 11, 13, 15, 17, 19) out of 20. Probability of first being odd = 10/20 = 1/2. Probability of second being odd = 9/19. Total probability = (1/2) * (9/19) = 9/38.

AI explanation

From the 20 tickets, there are 10 odd-numbered tickets (1, 3, 5, 7, 9, 11, 13, 15, 17, 19). The probability of drawing an odd ticket on the first draw is 10/20, and the probability of drawing an odd ticket on the second draw without replacement is 9/19. By the multiplication rule of probability, the probability of both events occurring is 10/20 multiplied by 9/19, which equals 9/38.