Page 1 FIFTY CHALLENGING PROBLEMS IN PROBABILITY WITH SOLUTIONS O ...

96 Pages·2009·4.92 MB·English

FIFTY
CHALLENGING
PROBLEMS IN
PROBABILITY

WITH SOLUTIONS

Frederick Mosteller
TO MY MOTHER
Fifty Challenging
Problems in
Probability

with Solutions

EREDERIC
Prefer of He

Dover Publications, Ine., New York,
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Preface

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‘ove of hm profi rare for er en ner tre ie, sare
‘aes ay ot thallenge you: aly, sc me dc eal thn sl
yeu Te yous enna fo len ns net Yeen eens, prong
Ate al romck nthe aan of Probl 48 One ef thee probe
fran, Wal you be ihe one whe mgs? BOON a, bal
Fao hen pra pete

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jin, as Do theuth prolong. Throtsh he ena, ¥en
Tor it his sees arse ut thal what J have lesrned playing with problems
I been ul inser wor,

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the eaiaer cokes ustopbisiedlaciion, bes Ht Mts ob
Siu oft sear tolutn, orem bus 6 Ue tmply or Fey
‘he anewe,

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few enjize eal, vt gtson Wika i ogni my eau the
peaked ie anette sare T hve orn re cance
the chatlerge than sat russel ting te alma een fo
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tI ger Rp ot con ni repaenins | have copied er ade
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uyoxition fot the paral Siu of @ hone aie ce Prone 8)

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pes cces cheater ef helt prtley wing disused on dx pe
Neng ht say be of ele ting ek afr ia the bok,
get enone the tr,
-Angome wring on pbs in poo vex wes debt nthe ale
spat pofsion 42 wee aod probably W._&. Wher and We
ook Che amt chance (Hare Pubising Ce, 1958, Replat of th ca
{Son mach ei, ant fn OL pric

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tovnckncaige his dee to FendeTo Rover TK, Rowe 3 fhe
reli or WME Fr persuading "pew Suembl th bike; ain rane
‘rota tbe wording has been none y Hs wv. My oll nde
nd erin Andren Glesrn, 1-3. Svage, a fotn Dy Wit jet
Uenethen the tnt by seupaing alia pets Tor incon, hy
testing ctcagexeasions fo some of th slwnon. sa eel
‘Seng to exchange ig for wrong: olay ws abet et cl @
{gation ail. ad converatons co Kai Lsi Chung. W. ©. Cochran, Arthur
Bente, Berard Pian, abn Garang John BG, ss Good
‘Tooroes Lehrer, Jes Darcum, Howatd Keiff, erbert Sur. ising: B.
“Thera J John W. Tobe, Tie. Dubie, nd Ces Vou
‘gy fod hepsi in F Mele, RE. X-Rowrke,G, 8. Thee
Ie, Probobity wit soto ppt, isn. Wesley, Resting, Mis
BWSA. Ashore vrsion acai Prafilip en wate, od tl
rer one, Probab: even
eroicion 0 pot) hrs 8 pices Way, Nev Yorks
Tease, Madtm pb teary an ts appro ie, New York

Froenos Moss.
Wee otra, Moca
Cano the compuscerabee

1B. catching the reds coon sedge

Contents

Seene BeeReessuRaeeeEEes

pans
A Mrhany hotles ‘

igrrignr Anat the xing fmm
es punta soe sorped an se

aeaneesess warese

EF hn nope toons @
(2. Tealiog ernmnery no
Challenging Problems
in Probability

L. The Suck Drawer

cut, tot pot thet both ire sed.) How sal a he
be of Sch fa hears be? (0 Hew Stl te tater of Back
fookeis wen?

2. Suveewive Wine

“To neonrage Ela promibng tenis cater, le fer fs ben &
fie he wine ( lee oe et to a eee eo be
Dnyd wit ftir ad the hanpin ema eer champion
Fater or chumpioetath-champien. scoring to Elmers hole THe
shunpion sa Beer paper thin Eine’ ater, Whi atc show Ee

3. ‘The Ehippumt Jucor

| trgemin jar bis cs) members eth of whi ladcpendendy hat
potabliy p uf making Ui core decion fn & Td meet Whe He
= ein for onch eticn mejor rel) 'A one mun Sry bax prekabiy p
Dimabing the cote decom Which jury har Une Ger FEODRUDHE

4, Teiala until Kieat

(om the aera, how many meet ee on nb Oe ae 287
in Square

common cart ane a ployee rouse «pet Com 8 sma’ of
gt fer one te safe af flere Linh age tN ey
{inc in arr falls nel Sie aura te ayrrae ens
Di does wo ea eu bac ors he ss pena UF he penny
Kron the al, whore shana 0 win?

‘chuck sLoek a gesbiog 2am en je ac cami nd ling
ome player ay beta one ste ares 2 30-4536. Tee
‘ie ar elle Us lve’ name apes On 80 ec
ain, he recoie esentvy on, t,o bee Gime Hs rg ae ie
hiown money hacky sthrvine be loam Br stthe. Wht the pages
‘rp Torr asta? culls laser nny cove sero
‘ever mors, but each tich se Ga he opted at 3 eprate e)

7. Curing the Compulsive Gambler

Mr, Brow aang tts dl he suit 1 tole pat
soe nnd Feet Ti ere Me Bromo paying rl, Kid
rca ays tas Bro 320 nea mon hat BOW Hl be en
‘heand of Mle, Hew isthe catering?

(Gta Arerin route heels Re 3 egal ely mapa. he
papers merce up pid 38 ime Sa od ge is inal
fete backs other ops tke)

1B. Torfact Bridge Hand

We otien vad ofsnoone ho fs bon dell 8 senes a idee Wid
iat (19 of ene sui? Bre is played wi an oediary pack of Sc
13h coh of 4s, nd ch of ger eel 1D)

9. Craps

‘The game of crape las with evo Ae, one of Ans at mad
‘ou popular eambling ge Calc Ihe pide ancited han

a