Pulsified333
  • Pulsified333
A 5-card poker hand is dealt from a well shuffled regular 52-card playing card deck. Find the probability that the hand is a Flush (5 nonconsecutive cards each of the same suit).
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
dan815
  • dan815
|dw:1442546703792:dw|
Pulsified333
  • Pulsified333
you are very artistic my friend
dan815
  • dan815
chance of 5 cards being all diamond + 5 cards being all heart, all clubs , all spades

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

dan815
  • dan815
|dw:1442546916458:dw|
dan815
  • dan815
|dw:1442546963874:dw|
anonymous
  • anonymous
4 ways to choose a suit * 13 * 12 * 11 * 10 * 9 then divide by 5! because order does not count
dan815
  • dan815
|dw:1442547007019:dw|
anonymous
  • anonymous
( 4 * 13 * 12 * 11 * 10* 9 / 5! ) / (52 choose 5 )
dan815
  • dan815
the same probability with the other suits so 4*(13*12*11*10*9/(52*51*50*49*48))
Pulsified333
  • Pulsified333
so would it be 4(99/199920)
anonymous
  • anonymous
( 4 choose 1 * 13 choose 5 ) /( 52 choose 5 ) =
anonymous
  • anonymous
.00198
Pulsified333
  • Pulsified333
i need a fraction
anonymous
  • anonymous
5148/2598960
anonymous
  • anonymous
= 33/ 16660 , oh cool 666
Pulsified333
  • Pulsified333
it says that 5148/2598960 is wrong
dan815
  • dan815
you must also subtract the case where the cards are consecutive from this as that would be a straight flush or a royal flush
Pulsified333
  • Pulsified333
so how is this done?
dan815
  • dan815
combinatorics is just logic really
dan815
  • dan815
you have to be able to reason through this stuff
dan815
  • dan815
lets take one consecutive flush, like A,2,3,4,5 what is the chance this is drawn
anonymous
  • anonymous
33/16660 is wrong?
dan815
  • dan815
need to subtract the consecutuve 5 card case from it jay
dan815
  • dan815
okay so this is how i think you should build up the consecutive case there are 13 pairs of 5 consecutive cards for example A,2,3,4,5 2,3,4,5,6 3,4,5,6,7 . . . Q,K,A,2,3 K,A,2,3,4 what is the chance of each of these cases
anonymous
  • anonymous
non straight flushes
anonymous
  • anonymous
( (4 choose 1)*(13 choose 5)-4*10 ) / ( 52 choose 5 )
dan815
  • dan815
close
anonymous
  • anonymous
there are 10 straights A,2,3,4,5 2,3,4,5,6 3,4,5,6,7 4,5,6,7,8 5,6,7,8,9 6,7,8,9,10 7,8,9,10, J 8,9,10, J, Q 9,10, J, Q, K 10, J, Q, K, A
dan815
  • dan815
well im not sure they consider KA234 consecutive too actually
anonymous
  • anonymous
1277/649740
anonymous
  • anonymous
KA234 is a wheel, thats not allowed in texas hold em poker, and most poker variants
dan815
  • dan815
if I was you id try these 3 solutions for your answer ( (4 choose 1)*(13 choose 5)-4*9 ) / ( 52 choose 5 ) ( (4 choose 1)*(13 choose 5)-4*10 ) / ( 52 choose 5 ) ( (4 choose 1)*(13 choose 5)-4*13 ) / ( 52 choose 5 )
Pulsified333
  • Pulsified333
well I have three attempts remaining
dan815
  • dan815
lol
dan815
  • dan815
dont make any calculation mistake xD one of those is definately right haha
Pulsified333
  • Pulsified333
is the 4*10, mean multiply or 4^10?
dan815
  • dan815
40
Pulsified333
  • Pulsified333
okay thank you
dan815
  • dan815
I think you should understand the solution before just answering
Pulsified333
  • Pulsified333
I do now
Pulsified333
  • Pulsified333
would the first one's calculation come out to be 5112/2598960
anonymous
  • anonymous
you can use wolfram as a calculator http://www.wolframalpha.com/input/?i=%28+%284+choose+1%29*%2813+choose+5%29-4*10+%29+%2F+%28+52+choose+5+%29

Looking for something else?

Not the answer you are looking for? Search for more explanations.