Probab Looks Fam Flashcards
Red Socks and Black Socks
4 (Number of Socks)
21 (If number of Black Socks is even)
Elmer’s Tennis Career
Champion-Father-Champion (0.512)
A Three Man JUry
Same Juries ( One Man and Three Man jury)
Die be thrown until one gets a 6
6
Common Carnival Game, a player tosses a penny
9/256 or less than 1/28
Chuck-a-Luck
8%
Mr. Brown
Gain of 2.79 Dollars per 36 trials
13 spades at bridge
6.299 x 10^12
Game of Craps / America’s Gambling gme
0.49293
Two Strangers / Choose one positive number
1 (Natural Choice)
3 (Popular Choice)
7 (popular Choice)
Two Strangers / New York
Empire State Building
Will Second-Best Be Runner-Up?
in a tournament of 2n players, the second-best man has probability 2^(n - 1) / (2^n - 1) of winning the runner-up cup.
Coupons in Cereal Boxes
11.43 box
Eight Eligible Bachelors
7 7/15
Tennis Tournament
4/7
King Arthur
1/4
100 coins are tossed
0.07959
Pepys wrote Newton
0.664 (At least 1 six when 6 dice are rolled)
0.619 (At least 2 six when 12 dice are rolled)
0.597 (At least 3 six when 18 dice are rolled)
Three Cornered Duel
Miss
Two Urns (101 red, 100 blacks)
5.8 (w/o replacement)
21.5/36 (with replacement)
In an election, two candidates, Albert and Benjamin, have in a ballot box a
and b votes respectively
8/10
Player A and B / Pennies
(N / n) / 2^N
If a chord is selected at random on a fixed circle
2/3 (two points chosen at circumference)
0.866 (distance of the chord from the center)
0.75 ( midpoint of the chord is evenly distributed)
DUel in the town / 5 AM, 6 AM
23/144 (Best Answer)
1/6 approximated
King’s Minter Boxes
0.366 (100 to a box)
(1-1/n)^n (100 replaced by n)
Airborne Spores
1/ sqrt of (2 pi m) ,
0.4 / sqrt m
A bread salesman sells on the average 20 cakes on a round of his route
0.568
What is the least number of persons required if the probability exceeds!
that two or more of them have the same birthday?
23
You want to find someone whose birthday matches yours. What is the least number of strangers whose birthdays you need to ask about to have a 5O-5O chance?
365
293
Labor laws in Erewhon require factory owners to give every worker a holiday
whenever one of them has a birthday and to hire without discrimination on
grounds of birthdays.
364
Cliff
107 / 243 (Disaster)
1/2 (Escaping)
Player M and N / Banktrupt
1/3
Roulette
18/38 > 7.23/57.7 bet all at once
How thick should a coin be to have a 1/3 chance of landing on edge?
0.354 pi
Clumsy Chemist ( 9 Inch Glass Rod, Blue Dot)
3 inches
52 Playing Cards / First Ace
10.6th card
Locomotives
119
71
If a stick is broken
1/4 L (Average length of Smaller Piece)
0.386 (Calculus, Average Ratio)
A bar is broken (Small, Middle-Sized, Largest Piece)
2
5
11
You get to choose in advance the number of plays. How many do you choose?
10
Shuffled Deck / Average Number of Matches
1
Typist / How many letters
1
0.368 ( probability of exactly r matches)
Quadratic Equation
1!
Particle / 50-50 chance of moving 1 step north or south
1
Two-Dimensional Walk
0.239
Parallel Lines
Between 0 and pi/2
Needle
4/pi
4L / pi (Arbitrary Length)
Needle
4/pi
4L / pi (Arbitrary Length)
Two Urns
n<2000
