5.01.2005

Q&A: Is the distribution of this random variable X binomial?

A set of four credit cards consist of two Visa cards and two Master cards. The cards are shuffled thoroughly, and I am dealt two cards. X is the number of Visa cards in these two cards.

A

  • n = 2: since two cards are being selected, the number of observations is two.
  • If the observations were independent, the distribution would be binomial. But they are NOT.
    • If the first card is Visa, the probability that the second card dealt is Visa is 1/3.
    • If the first card is Master, the probability that the second card dealt is Master is 2/3.
  • These two probabilities would have to be the same if the observations were independent.

Category: C++ Quant-Probability-Distributions

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