Multiple choice

$20$ card are numbered from $1$ to $20$. One card is drawn at random. What is the probability that the number on the card is greater than $12$?

  1. $\dfrac {2}{3}$
  2. $\dfrac {1}{2}$
  3. $\dfrac {2}{5}$

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Numbers greater than 12 in the set {1, 2, ..., 20} are {13, 14, 15, 16, 17, 18, 19, 20}. There are 8 such numbers. The probability is 8/20, which simplifies to 2/5.

AI explanation

The total number of possible outcomes is 20, since there are 20 cards. The numbers greater than 12 are 13, 14, 15, 16, 17, 18, 19, and 20, yielding 8 favorable outcomes. The probability is the ratio of favorable outcomes to total outcomes, which is 8/20 or 2/5.

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