A "standard" deck of playing cards consists of 52 Cards in each of the 4 suits of Spades, Hearts, Diamonds, and Clubs. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King. So, there are 4 ways to choose Jacks from these 52 cards. You randomly pick a card at each attempt without knowing which card it is. What is the expected number of trials to get the first Jack? What is the probability that you always get a Jack? What is the standard deviation of this distribution?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Sir, please solve this problem asap.No need any kind of broad explanation. Only providing the answer with a one or two line explanation will be enough. Thank you.

A "standard" deck of playing cards consists of 52 Cards in each of the 4 suits of Spades, Hearts, Diamonds, and Clubs. Each suit
contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.
So, there are 4 ways to choose Jacks from these 52 cards. You randomly pick a card at each attempt without knowing which card it
is.
What is the expected number of trials to get the first Jack?
What is the probability that you always get a Jack?
What is the standard deviation of this distribution?
Transcribed Image Text:A "standard" deck of playing cards consists of 52 Cards in each of the 4 suits of Spades, Hearts, Diamonds, and Clubs. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King. So, there are 4 ways to choose Jacks from these 52 cards. You randomly pick a card at each attempt without knowing which card it is. What is the expected number of trials to get the first Jack? What is the probability that you always get a Jack? What is the standard deviation of this distribution?
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