You have a standard 52 card playing card deck. You then add 2 Jokers for a total of 54 cards and shuffle the deck. If you draw cards one by one, what is the probability that you draw the Queen of Hearts before you draw a Joker?

Pretty basic math. 1 queen of hearts in 54 cards=1/54. 2 jokers in 54 cards 2/54=1/27 2:1 jokers, 1/2:1 queen.

Are you replacing or not?

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Originally Posted by Capuchin

are you replacing or not?

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I don't think it matters.

If not replacing, then all you need worry about are three cards - call them A, B and C. This question is equivalent to asking if you shuffle the deck what is the probability that card A comes before both B and C in the deck. That's 1/3.

If you are replacing, then the probability of getting card A on any one draw is 1/2 the probability of drawing either B or C. So the probability of getting A before B or C is (1/2)/(1+1/2) = 1/3.

It's true that it doesn't matter, I was asking to try and help some thought processes along :)