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Supot Si Keanna > Probab Looks Fam > Flashcards

Probab Looks Fam Flashcards

1
Q

Red Socks and Black Socks

A

4 (Number of Socks)
21 (If number of Black Socks is even)

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2
Q

Elmer’s Tennis Career

A

Champion-Father-Champion (0.512)

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3
Q

A Three Man JUry

A

Same Juries ( One Man and Three Man jury)

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4
Q

Die be thrown until one gets a 6

A

6

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5
Q

Common Carnival Game, a player tosses a penny

A

9/256 or less than 1/28

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6
Q

Chuck-a-Luck

A

8%

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7
Q

Mr. Brown

A

Gain of 2.79 Dollars per 36 trials

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8
Q

13 spades at bridge

A

6.299 x 10^12

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9
Q

Game of Craps / America’s Gambling gme

A

0.49293

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10
Q

Two Strangers / Choose one positive number

A

1 (Natural Choice)
3 (Popular Choice)
7 (popular Choice)

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11
Q

Two Strangers / New York

A

Empire State Building

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12
Q

Will Second-Best Be Runner-Up?

A

in a tournament of 2n players, the second-best man has probability 2^(n - 1) / (2^n - 1) of winning the runner-up cup.

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13
Q

Coupons in Cereal Boxes

A

11.43 box

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14
Q

Eight Eligible Bachelors

A

7 7/15

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15
Q

Tennis Tournament

A

4/7

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16
Q

King Arthur

A

1/4

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17
Q

100 coins are tossed

A

0.07959

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18
Q

Pepys wrote Newton

A

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)

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19
Q

Three Cornered Duel

A

Miss

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20
Q

Two Urns (101 red, 100 blacks)

A

5.8 (w/o replacement)
21.5/36 (with replacement)

21
Q

In an election, two candidates, Albert and Benjamin, have in a ballot box a
and b votes respectively

A

8/10

22
Q

Player A and B / Pennies

A

(N / n) / 2^N

23
Q

If a chord is selected at random on a fixed circle

A

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)

24
Q

DUel in the town / 5 AM, 6 AM

A

23/144 (Best Answer)
1/6 approximated

25
Q

King’s Minter Boxes

A

0.366 (100 to a box)
(1-1/n)^n (100 replaced by n)

26
Q

Airborne Spores

A

1/ sqrt of (2 pi m) ,
0.4 / sqrt m

27
Q

A bread salesman sells on the average 20 cakes on a round of his route

A

0.568

28
Q

What is the least number of persons required if the probability exceeds!
that two or more of them have the same birthday?

A

23

29
Q

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?

A

365
293

30
Q

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.

A

364

31
Q

Cliff

A

107 / 243 (Disaster)
1/2 (Escaping)

32
Q

Player M and N / Banktrupt

A

1/3

33
Q

Roulette

A

18/38 > 7.23/57.7 bet all at once

34
Q

How thick should a coin be to have a 1/3 chance of landing on edge?

A

0.354 pi

35
Q

Clumsy Chemist ( 9 Inch Glass Rod, Blue Dot)

A

3 inches

36
Q

52 Playing Cards / First Ace

A

10.6th card

37
Q

Locomotives

A

119
71

38
Q

If a stick is broken

A

1/4 L (Average length of Smaller Piece)
0.386 (Calculus, Average Ratio)

39
Q

A bar is broken (Small, Middle-Sized, Largest Piece)

A

2
5
11

40
Q

You get to choose in advance the number of plays. How many do you choose?

A

10

41
Q

Shuffled Deck / Average Number of Matches

A

1

42
Q

Typist / How many letters

A

1
0.368 ( probability of exactly r matches)

43
Q

Quadratic Equation

A

1!

44
Q

Particle / 50-50 chance of moving 1 step north or south

A

1

45
Q

Two-Dimensional Walk

A

0.239

46
Q

Parallel Lines

A

Between 0 and pi/2

47
Q

Needle

A

4/pi
4L / pi (Arbitrary Length)

48
Q

Needle

A

4/pi
4L / pi (Arbitrary Length)

49
Q

Two Urns

A

n<2000

Supot Si Keanna (8 decks)

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