Multiple choice

Two cards are drawn from well shuffeled pack of cards.X denotes number of hearts drawn.The PDF of X is x 0 1 2 p(x) 19k 13k 2k then value of k is

  1. $1$
  2. $2$
  3. $\dfrac{2}{34}$
  4. $\dfrac{1}{34}$
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D Correct answer
Explanation

The probabilities in a probability distribution must add to 1. Therefore, 19k + 13k + 2k = 34k = 1, giving k = 1/34.

AI explanation

Using the fundamental property of a probability distribution function, the sum of all probabilities must equal 1. We set the sum 19k + 13k + 2k equal to 1. Combining the terms gives 34k = 1, which means k equals 1/34.

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