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Category > Statistics Posted 25 May 2017 My Price 5.00

Find the probabilities of each of the following events

I deal myself 3 cards from a standard 52-card deck. Find the probabilities of each of the following events:

(a) 2 of a kind (e.g., 2 fives or 2 kings);

(b) 3 of a kind;

(c) 3 of the same suit (a.k.a a flush, e.g., 3 hearts or 3 clubs);

(d) 3 cards in consecutive order (a.k.a. a straight, e.g., 2-3-4 or 10-J-Q)

 

Answers

Alpha Geek
(8)
Status NEW Posted 25 May 2017 09:05 AM My Price 5.00

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file 1495705184-Answer.docx preview (77 words )
I----------- de-----------al -----------mys-----------elf----------- 3 -----------car-----------ds -----------fro-----------m a----------- st-----------and-----------ard----------- 52------------ca-----------rd -----------dec-----------k. -----------Fin-----------d t-----------he -----------pro-----------bab-----------ili-----------tie-----------s o-----------f e-----------ach----------- of----------- th-----------e f-----------oll-----------owi-----------ng -----------eve-----------nts-----------: -----------(a)----------- 2 -----------of -----------a k-----------ind----------- (e-----------.g.-----------, 2----------- fi-----------ves----------- or----------- 2 -----------kin-----------gs)-----------; -----------(b)----------- 3 -----------of -----------a k-----------ind-----------; -----------(c)----------- 3 -----------of -----------the----------- sa-----------me -----------sui-----------t (-----------a.k-----------.a -----------a f-----------lus-----------h, -----------e.g-----------., -----------3 h-----------ear-----------ts -----------or -----------3 c-----------lub-----------s);----------- (-----------d) -----------3 c-----------ard-----------s i-----------n c-----------ons-----------ecu-----------tiv-----------e o-----------rde-----------r (-----------a.k-----------.a.----------- a -----------str-----------aig-----------ht,----------- e.-----------g.,----------- 2------------3-4----------- or----------- 10------------J------------Q) -----------  ----------- A-----------nsw-----------er -----------a) ----------- P(-----------2 o-----------f a----------- ki-----------nd)-----------= (-----------13C-----------1*(-----------4C2-----------)*4-----------8C1-----------)/5-----------2C3----------- = -----------0.1-----------694----------- -----------Ans-----------wer----------- b)----------- P-----------(3 -----------of -----------a k-----------ind-----------)= -----------(13-----------C1*-----------4C3-----------)/5-----------2C3----------- = -----------0.0-----------023-----------
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