Probability. A deck of card A deck of card is shuffled. What is the chance that the top card is not the jack of clubs or the bottom card is the queen of spades? Thank you ! 
Re: Probability. A deck of card Set up two disjoint events and sum probabilities. Event 1, top card is not jack of clubs  prob = 51/52 Event 2, top card is jack of clubs and bottom card is queen of spades  prob = (1/52)(1/51) Add together. 
Re: Probability. A deck of card When you have an or statement like that, there are three possibilities: 1) The top card is not the jack of clubs AND the bottom card is the queen of spades 2) The top card is not the jack of clubs and the bottom card is not the queen of spades 3) The top card is the jack of clubs and the bottom card is the queen of spades. This is a lot of probabilities to keep track of, so one way to do it is to find the probability that the or statement is NOT true and subtract that from 1. The statement is not true when the top card is the jack of clubs and the bottom card is not the queen of spades. 
Re: Probability. A deck of card The other way works too. 
Re: Probability. A deck of card P(j, q) = (1/52)*(1/52) P(nj, q) = (51/52)*(1/52) P(j, nq) = (1/52)*(51/52) P(nj, nq) = (51/52)*(51/52) P(j, q) + P(nj, q) + P(j, nq) + P(nj, nq) = 1. P(j, q) + P(nj, q) + P(nj, nq) = 2653/2704. 
Re: Probability. A deck of card Hello, hunnybee! Quote:
Let = Top,[color=beige] .[/color] = Bottom. Formula: [color=beige]. . . . . . . . . . . . . . . . . . [/color] [color=beige]. . . . . . . . . . . . . . . . . . [/color] edit: corrected silly error [color=beige] .[/color] 
Re: Probability. A deck of card Quote:

Re: Probability. A deck of card Quote:

Re: Probability. A deck of card Quote:
I guess this is wrong, but can anyone tell me why? 
Re: Probability. A deck of card Quote:
Note to soroban: The last term should be (51/52)(1/51) 
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