The worlds first riddle!

[size=7]Bachelor #1
22
11.84467.........[/size]

Rap

Rap:

Bachelor #1
22
11.84467.........

I can see I will have to kick it up a notch; I'm running out of sunglasses!


I have just found what I assume is a problemo of sum difficulty proffered by none other than Slippy:

BLUE DARTBOARD

Large circular blue pictures are pinned to both sides of a dartboard indiscernible other than that each face is the radius of a loved 1.

After most of A2K has had a go (inference statistical) what is the average distance between the centaur of the dartboard and the pin umm err points?


I guess the most abstract setting for a notion of induced probability
would be a measurable function f from a probability space X into a
measure space Y. The measurable function then induces a probability
distribution on the measure space by:

Pr_Y(A) = Pr_X(f^-1(A))

Where A is any measurable subset of Y, and f^-1(A) is the (measurable)
preimage of A under f.

Do I win a BIG prize?

BTW: "Triage kindly cautioned slippery about snafu snaffling snagglepuss and such only to be astonished at insincere imitation. Speaking of roundly flattering, and based on just to hand biographical information:"

You are talking about Rap…Right? :wink:

SO HAPPY TO SEE YOU! feeling lonely!

Say no more; fire up the sauna, and I will be right over!

Glad to hear it!

BLUE DARTBOARD

If the radius is 1 what is the average distance of randomly distributed darts from the centre of the board?

BLUE DARTBOARD

In probability theory and statistics, the Bernoulli distribution, (named after Swiss scientist Jakob Bernoulli), is a discrete probability distribution, which takes value 1 with success probability p and value 0 with failure probability q = 1 - p. So if X is a random variable with this distribution, we have:

Pr(X = 1) = 1 - Pr(X =0) = 1 -q = p.



To the max…

The absolute value of a real number is defined as its numerical value without regard for sign. So, for example, abs(2) = abs(-2) = 2.

The maximum of two real numbers is defined as the numerically bigger of the two. For example, max(2, -3) = max(2, 2) = 2.

Express:

abs in terms of max
max in terms of abs

logA27 = .75

A = 81

BLUE DARTBOARD
[size=7]2/3 (I'm not sure I did this right)[/size]

MAX ABS
[size=7]abs(x) = max(x,-x)
max(x,y) = (x+y)/2 + abs(x-y)/2[/size]

markr indelibly deliberate


BLUE DARTBOARD

2/3

http://mathproblems.info/prob17s.htm

don't ask

Mark:

logA27 = .75

A = 81

I have double checked my notes, and you are absolutely right.


MAX ABS

abs(x) = max(x,-x)
max(x,y) = (x+y)/2 + abs(x-y)/2


I think we are singing the same song, so by inspection, abs(x) = max(x, −x).

To express max(x, y) in terms of abs function(s), consider x and y positioned on the real number line.

The midpoint of the line is ½(x + y).

To obtain max(x, y), we then need to add half the length of the line segment connecting x and y; that is, we must add ½(abs(x − y)).

Hence max(x, y) = ½(x + y + abs(x − y)).


BTW Welcome Slippy to the world of riddle writing!



INTRAG


GSAVS

Solly I interperated it as base 27

The other way is easier, more exact, and correct

LogA27=.75
LogA3^3=3/4
3^3=A^(3/4)
(3^3)^4=A^3
3^4=A
A=81
and that without my pocket calculator (neede for my answer)

Rap

training
savings

TTH:

INTRAG = training

GSAVS = savings

I thought they were difficult!



A certain A2K Riddles examination of 12 questions was graded by giving 10 points for each correct answer and then deducting 5 points for each incorrect answer.

Rap attempted all 12 questions leaving no question unanswered, and scored a total of 75 points.

How many wrong answers did he have




A target is marked from the centre 100, 50 and 25 with three circles that have a radius = 1, 2, and 3, respectively.

If you throw three darts and you are assured all three will hit the target, what is the probability that your score will be exactly 150 points

DARTS
[size=7]34/243[/size]

9 correct is 90 and 3 incorrect = -15
leaving a score of 75

Hmm, that seems to simple so what am I missing?

They didn't have answers that long ago, only questions. The invigilator was later charged with 3rd degree attempted unanswered tautology. A group of cohorts split the infinitive.

Sorry solipsister, but I don't understand you

hi TTH, what are you studying?