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A deck of cards is shuffled and you choose one at random, observe its color, and

ID: 3244690 • Letter: A

Question

A deck of cards is shuffled and you choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled, and you again choose a card at random, observe its color, and replace it in the set. This process is repeated until you get a red card with X denoting the number of draws required. The random variable X has which of the following probability distributions?

the binomial distribution, with parameters n = 26 and p = 0.5

the binomial distribution, with parameters n = 52 and p = 0.5

None of the above

the binomial distribution, with parameters n = 26 and p = 0.5

Explanation / Answer

Ans : None of the above (actually it is a GEOMETRIC distribution)