+0  
 
0
343
0
avatar+91053 

This will be my probability thread

http://en.wikipedia.org/wiki/Poker_probability

 

1) Permutation Question

 

 

2) A selection problems

http://web2.0calc.com/questions/probability_29

 

 

3) Not very hard

 

4) What is the probabiliy that a rook (castle) and a bishop will threaten each other on a chess board ?

http://web2.0calc.com/questions/a-castle-and-a-bishop-are-placed-on-different-squares-of-a-chessboard-what-is-the-probability-that-one-piece-threatens-the-other

5) Poker

http://en.wikipedia.org/wiki/Poker_probability

6,7) kids in a circle

http://web2.0calc.com/questions/in-how-many-ways-can-4-boys-and-4-girls-sit-around-a-circle-table-if-all-the-boys-sit-together-rotations-of-the-same-arrangement-are-still#r1

http://web2.0calc.com/questions/in-how-many-ways-can-the-10-kids-in-my-class-be-seated-in-a-circle-if-john-and-sam-insist-on-being-seated-diametrically-opposite-each-other_1

 

8)   distinct paths from one corner of a square to the other.    :/

http://web2.0calc.com/questions/each-small-square-has-a-side-length-of-one-unit-how-many-distinct-paths-of-six-units-are-there-from-a-to-b

 

9)  B***s in boxes

http://web2.0calc.com/questions/how-many-ways-are-there-to-put-6-b***s-in-3-boxes-if-the-b***s-are-distinguishable-and-the-boxes-are-distinguishable#rr19

10) lollies and lunchboxes

http://web2.0calc.com/questions/i-really-need-help-please-i-have-no-idea-how-to-do-it-sorry

 

11) Using poisson distribution.

http://web2.0calc.com/questions/in-average-there-is-one-defect-per-100-m-of-magnetic-tape-a-what-is-the-probability-that-150-m-of-tape-have-no-defect-b-given-that-the

 

12) counting chord cuts in a circle

http://web2.0calc.com/questions/x_1-x_2-ldots-x_9-are-nine-points-on-the-circumference-of-circle-o-line-segments-are-drawn-connecting-each-pair-of-points-what-is-th

 

13) Probability - coloured cards

http://web2.0calc.com/questions/probability-of-a-deck-of-red-and-blue-cards

 

14) counting steps in a grid -    :)

http://web2.0calc.com/questions/how-many-9-step-paths-are-there-from-nbsp-nbsp-to-nbsp-nbsp-which-pass-through-nbsp

 

15)   Car number plates with a twist problem 

http://web2.0calc.com/questions/a-license-plate-consists-of-two-letters-followed-by-two-digits-for-example-mp78-neither-the-digits-nor-the-letters-may-be-repeated-and

 

16)   Cars in a carpark

http://web2.0calc.com/questions/there-are-24-cars-in-the-parking-lot-outside-of-my-building-they-are-all-either-2-door-or-4-door-are-either-white-black-or-red-and-are

 

17)  b***s in a box

http://web2.0calc.com/questions/a-box-contains-4-white-b***s-and-5-red-b***s-i-draw-3-of-them-out-of-the-box-one-at-a-time-without-replacement-what-is-the-probability-t

 

18)  Cards

http://web2.0calc.com/questions/perhaps-the-most-common-error-in-ranking-poker-hands-involves-confusing-the-order-of-a-straight-and-a-flush-a-straight-is-5-cards-with-cons

 

19)  I am not sure what this is, some kind of probability.  :/    

http://web2.0calc.com/questions/1-nbsp-kai-cuts-out-all-the-page-numbers-of-a-book-he-takes-each-number-and-cuts-the-numbers-into-separate-digits-single-digit-numbers-a

 

20)  Statistics  with zscore BUT Binomial Distribution.

http://web2.0calc.com/questions/according-to-benford-s-law-example-10-6-page-227-the-probability-that-the-first-digit-of-the-amount-of-a-randomly-chosen-invoice-is-a-1-o

 

21) How many ways can you pair an even number of people off.   And other scenarios too. 

http://web2.0calc.com/questions/in-how-many-ways-can-8-people-be-seated-around-a-square-table-with-2-people-on-a-side-two-configurations-are-considered-equivalent-if-one

 

22) How many ways can N peripherals be attached to k computers if every peripheral must be attached to exactly one computer and and every computer must be attached to at least one periferal.

So ther must be at least as many computers as peripherals    $$k\ge N$$

I believe that this is the formula that Nauseated presented us with 

$$\displaystyle \sum \limits_{i=0}^{\textcolor[rgb]{1,0,0}{N-1}} *(-1)^i*\binom{N}{i}* (N-i)^k$$

http://web2.0calc.com/questions/this-is-question-from-assignment-book

http://web2.0calc.com/questions/this-is-a-continuation-of-an-earlier-counting-question-that-nauseated-and-geno-answered

 

23)  7 digit numbers with conditions

http://web2.0calc.com/questions/please-explain-thoroughly

 

24)  Combinations - vertices of a octahedron

http://web2.0calc.com/questions/two-of-the-vertices-of-a-regular-octahedron-are-to-be-chosen-at-random-what-is-the-probability-that-they-will-be-the-endpoints-of-an-edge-o

 

25)  combination probabiliy - Not too difficult.

http://web2.0calc.com/questions/four-prime-numbers-are-randomly-selected-without-replacement-from-the-first-ten-prime-numbers-what-is-the-probability-that-the-sum-of-the-f

 

26)  Lotto Probability

http://web2.0calc.com/questions/1-nbsp-in-the-smallstate-lottery-three-white-b***s-are-drawn-at-random-from-twenty-b***s-numbered-1-through-20-and-a-blue-superball-is

 

27) Playing cards probabilities

http://web2.0calc.com/questions/in-the-card-game-bridge-each-of-4-players-is-dealt-a-hand-of-13-of-the-52-cards-what-is-the-probability-that-each-player-receives-exactly

 

 28) b***s - middle high level

http://web2.0calc.com/questions/there-are-four-red-b***s-and-two-white-b***s-in-a-jar-one-ball-is-randomly-removed-and-replaced-with-a-ball-of-the-opposite-color-the-jar

 

29) coin flipping

I made an intereresting discovery here.:)

http://web2.0calc.com/questions/a-large-regular-hexagon-is-drawn-on-the-ground-and-a-man-stands-at-one-of-the-vertices-the-man-flips-a-coin-if-the-coin-lands-heads-he

 

30)  cards

http://web2.0calc.com/questions/carson-flips-over-the-cards-of-a-standard-52-card-deck-one-at-a-time-what-is-the-probability-that-he-flips-over-the-ace-of-spades-before-an

 

31) Number Theory - New to me. :/

http://web2.0calc.com/questions/a-point-is-on-a-number-line-but-it-is-limited-to-being-at-0-1-or-2-at-each-step-the-point-moves-1-unit-left-or-right-if-the-point-is-a

 

32) Expected values and probabilities

http://web2.0calc.com/questions/1-nbsp-two-numbers-x-and-y-are-randomly-chosen-from-the-interval-0-1-what-is-the-expected-value-of-x-y

 

33)  Areas inside a square - great logic from Chris

http://web2.0calc.com/questions/1-nbsp-point-p-is-chosen-inside-square-abcd-what-is-the-probability-that-triangle-abp-has-a-greater-area-than-triangle-cdp

 

34) nonogon probability

http://web2.0calc.com/questions/a-a-regular-nonagon-9-sided-polygon-is-inscribed-in-a-circle-as-shown-below-three-of-the-9-vertices-are-selected-at-random-and-the-tri

 

35) Expected values

http://web2.0calc.com/questions/consider-a-random-variable-x-such-that-p-x-1-p-x-1-frac12

36) Expected values

http://web2.0calc.com/questions/1-nbsp-suppose-we-have-a-bag-with-8-slips-of-paper-in-it-six-of-these-have-a-1-on-them-and-the-other-two-have-a-3-on-them-what-is-the-ex

37) Expected values

http://web2.0calc.com/questions/1-nbsp-two-numbers-x-and-y-are-randomly-chosen-from-the-interval-0-1-what-is-the-expected-value-of-x-y

 

38)  Treasue hunt:

http://web2.0calc.com/questions/a-pirate-is-searching-for-buried-treasure-on-6-islands-on-each-island-there-is-a-frac-1-4-chance-that-the-island-has-buried-treasure

 

39)  Pascal Triangle questions    (A few around this page)

http://web2.0calc.com/questions/page/1663

40)  Train probability

http://web2.0calc.com/questions/alex-needs-to-catch-a-train-the-train-arrives-randomly-some-time-between-1-00-and-2-00-waits-for-10-minutes-and-then-leaves-if-alex-also

 

41)  Probability on a number line     (26/4/15 Mellie)

http://web2.0calc.com/questions/two-numbers-between-0-and-1-on-a-number-line-are-to-be-chosen-at-random-what-is-the-probability-that-the-second-number-chosen-will-exce

 

42)  Another geometry special     (29/4/15  Mellie)

http://web2.0calc.com/questions/in-triangle-abc-ab-5-bc-4-and-ca-3-point-p-is-randomly-selected-inside-triangle-abc-what-is-the-probability-that-p

 

43 )  Expected value

http://web2.0calc.com/questions/an-unfair-coin-lands-on-heads-with-probability-frac35-on-tails-with-probability-frac15-and-on-its-edge-with-probability-frac15-i

 

44)  lights and colours     

http://web2.0calc.com/questions/a-point-is-chosen-at-random-on-the-number-line-between-0-and-1-and-the-point-is-colored-green-then-another-point-is-chosen-at-random-on-t

 

45) Children and lollies and did I just discover a formula  :/

http://web2.0calc.com/questions/in-how-many-ways-can-we-distribute-13-pieces-of-identical-candy-to-5-kids-if-the-two-youngest-kids-are-twins-and-insist-on-receiving-an-equ

 

46)  How many ways can 15 Identical candybars be distributed to 5 different children  

(15+5-1) C 15  ways    (I think)

http://web2.0calc.com/questions/1-nbsp-4-students-are-running-for-club-president-in-a-club-with-50-members-how-many-different-vote-counts-are-possible-if-all-50-members

Learning sites for these lollie questions

http://en.wikipedia.org/wiki/Stars_and_bars_(combinatorics)

http://en.wikipedia.org/wiki/Multiset

 

47)  Another lollie question from Mellie

http://web2.0calc.com/questions/we-have-8-pieces-of-strawberry-candy-and-7-pieces-of-pineapple-candy-in-how-many-ways-can-we-distribute-this-candy-to-4-kids#rr2

 

48)  LEFT FACTORIAL

The subfactorial or left factorial, written, is the number of ways that n objects can be arranged where no object appears in its natural position (known as "derangements.")

http://web2.0calc.com/questions/what-does-the-meaan#r3

 

49) A and B alternate to roll a die.  What is the prob that A rolls a 6 first.       (15/5/15)

http://web2.0calc.com/questions/a-and-b-take-turns-rolling-a-die-a-starts-the-winner-is-the-first-one-that-rolls-a-6-what-is-the-probability-that-a-wins

 

50)  Minimum number of marbles needed    (from Mellie)       (15/5/15)

http://web2.0calc.com/questions/a-bag-contains-some-marbles-each-of-which-is-one-of-four-colors-red-white-blue-and-green-at-least-one-of-the-marbles-is-red-the-comp

 

51) Chance of 4 winning games in a row in basketball  (from Mellie)    (15/5/15)

http://web2.0calc.com/questions/my-basketball-team-has-eight-games-next-month-we-re-pretty-good-we-have-a-2-3-chance-to-win-in-each-game-what-is-the-probability-we-have

 

52) Nickels and Pennies   (from Mellie)     (15/5/15)

http://web2.0calc.com/questions/i-have-a-bag-with-5-pennies-and-3-nickels-i-draw-coins-out-one-at-a-time-at-random-what-is-the-probability-that-i-haven-t-removed-all-3-ni

 

53) How many 20 digit numbers are even (from Mellie)   (15/5/15)

http://web2.0calc.com/questions/how-many-20-digit-numbers-are-such-that-the-sum-of-their-digits-is-even

 

54)  What is the chance of makinga cyclic quad ?    (from Mellie)   (15/5/15)  (page 1769)

http://web2.0calc.com/questions/six-points-on-a-circle-are-given-four-different-chords-joining-pairs-of-the-six-points-are-selected-at-random-what-is-the-probability-that

 

Repeating probablility problem

http://web2.0calc.com/questions/monty-hall-problem

Probability question.

http://web2.0calc.com/questions/a-grid-with-3-rows-and-52-columnsmins-tiled-with-78-identical-2x1-dominoes-how-many-ways-can-this-be-done-such-that-exactly-two-of-the-domi

 

Very tricky selections question.      (Alan and Bertie   4/3/15)

http://web2.0calc.com/questions/please-explain-very-well-in-this-question_3

 

Poker probabilities       (added 22/3/15)

http://web2.0calc.com/questions/in-poker-a-5-card-hand-is-called-two-pair-if-there-are-two-cards-of-one-rank-two-cards-of-another-rank-and-a-fifth-card-of-a-third-rank

squares permutations       (added 22/3/15)

http://web2.0calc.com/questions/each-small-square-has-a-side-length-of-one-unit-how-many-distinct-paths-of-six-units-are-there-from-a-to-b

More squares permutations       (added 22/3/15)

http://web2.0calc.com/questions/mack-the-bug-starts-at-0-0-at-noon-and-each-minute-moves-one-unit-right-or-one-unit-up-he-is-trying-to-get-to-the-point-5-7-howeve

 

 

Probability - new formula from Nauseated.

http://web2.0calc.com/questions/how-many-ways-are-there-to-distribute-12-unlabeled-b***s-into-9-labeled-boxes

http://web2.0calc.com/questions/how-many-ways-can-3-identical-b***s-go-into-9-unique-boxes

 

http://web2.0calc.com/questions/this-is-a-continuation-of-an-earlier-counting-question-that-nauseated-and-geno-answered

Probability - counting

http://web2.0calc.com/questions/i-really-need-help-please-i-have-no-idea-how-to-do-it-sorry

Probability - counting

http://web2.0calc.com/questions/this-is-question-from-assignment-book

An alternative diagram method from Alan - This is really neat 

http://web2.0calc.com/questions/i-think-this-is-a-mutually-exclusive-question

 
Melody  Feb 1, 2015
Sort: 

0+0 Answers


2 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details