Four cards are selected, one at a time from a standard deck of 52 cards. Let...

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Four cards are selected, one at a time from a standard deck of 52 cards. Let...

Four cards are selected, one at a time from a standard deck of 52 cards. Let x represent the number of Jacks drawn in a set of 4 cards. If the cards are not replaced after each draw, explain why x is NOT a binomial random variable.

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math Statistics-And-Probability

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Answer 1

Answer #1

Here the event success is getting a card of jack.

In general for binomial distribution, probability of success is same for each trial.

But here the probability of success for first trial is 4/52. Probability of success for second trial given that jack is drawn on first trial = 3/51. Probability of success for second trial given that jack is not drawn on first trial = 4/51.

Since probability of success is not same for each trial, this is not a binomial distribution

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Answer 2

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