Multiple choice

Choose the correct alternative for each of the following. Cards each marked with one of the numbers $4, 5, 6, ...,20$ are placed in a box and mixed thoroughly. One card is drawn at random from the box. Then the probability of getting an even prime number is

  1. $0$
  2. $1$
  3. $ \displaystyle \frac{1}{2} $

  4. None
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A Correct answer
Explanation

The numbers are 4, 5, 6, ..., 20. The total number of cards is 20 - 4 + 1 = 17. The only even prime number is 2. Since 2 is not in the set {4, 5, ..., 20}, the probability is 0.

AI explanation

The cards in the box are marked with numbers from 4 to 20, which are all composite numbers. An even prime number is 2, which is not present in the given set of cards. Therefore, the number of favorable outcomes is 0, making the probability 0 divided by the total number of cards. The probability of getting an even prime number is 0.

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