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**PandaPanda** Got my first math assignment this week and already I don't know what to do o_O

Here it is (mostly I'm struggling with context, etc.)

*1. Euchre is a popular card game played with a partial deck of ordinary cards. Only 24 cards are used: the 9, 10, Jack, Queen, King, and Ace of each suit. Consider the experiment of drawing cards from a Euchre deck until a club is drawn. ***After each draw, the card is replaced and the deck is shuffled.**

*a. What is the probability of drawing a club on the first draw? Find the smallest and the largest number of cards you might need to draw to get a club.*

Here's my confused answer: The probability is 25% since clubs make up one-fourth of all 24 cards. Mr F says: Correct.

At minimum, you only need to draw one card to have a chance of getting a club, right? Mr F says: Correct.

At most, you might need to draw 19 cards, because in some unlikely situation, you could draw every other card before a club.

Mr F says: Are you putting the card back after each draw? If so then you're correct. If not (and what I've noted in blue suggests this), then ........

*b. Are the draws independent? Explain*

I said yes, since draws rely solely on luck and no other factor. But of course, eventually you run out of cards to replace the deck, so that might be a dependent variable, right? Heck, I don't even know if you keep the cards you draw or not in a game of Euchre. Someone help me out here?

Mr F says: What does the stuff in blue say? When sampling without replacement the draws are not independent. The outcome of one draw will affect the outcome of the next.

*c. Complete the table below for a theoretical probability distribution for the number of draws to get a club.*

*Number of Draws to Get First Club ... Probability*

*1 ................ ___*

*2 ................ ___*

*3 ................ ___*

*4 ................ ___*

*5 ................ ___*

*6 or more .... ___*

Does it go something like: 6 out of 24, then 6 out of 23, 6 out of 22, 6 out of 21, etc. etc? I don't think that's how it works because the problem emphasizes that "the deck is shuffled and the card is replaced." I don't get how that works. So you return your card to the deck? How many cards in a partial deck?

Thanks.