The worlds first riddle!

Letter e:
4

IRRATIONAL UPDATE
The probability of reaching N by summing random digits is:
P(N) = 1-(1/9*P(N-8)+2/9*P(N-7)+3/9*P(N-6)+4/9*P(N-5)+5/9*P(N-4)+6/9*P(N-3)+7/9*P(N-2)+8/9*P(N-1))
If you assume that P(N) becomes constant for large enough N, then you get:
P(N) = 1-(4*P(N)) or
P(N) = .2
For N>152, P(N) = .2 (15 significant digits)

ENVELOPES
1, 2, 4, 8, 16, 32, 64, 128, 256, 489
He could have given him up to $1023 and still satisfied the conditions of the problem.

E
I get 19 in the quote.

3 DICE
1-(5/6)^3 = 91/216

Mark:
3 DICE
"1-(5/6)^3 = 91/216"

He is right you know.
Take the chances of a six NOT appearing on the first die...
5 / 6 and multiply this by the chances of a six NOT appearing on the second die; 5 / 6 x 5 / 6 = 25 / 36 and multiply this by the chances of a six NOT appearing on the third die; 25 / 36 x 5 / 6 = 125 / 216

So, there are 125 out of 216 chances of a 6 NOT appearing when three dice are rolled. Simply subtract 125 from 216 which will give us the chances a 6 WILL appear when three dice are rolled, which is 91. 91 out of 216 or 42.1 %


If f(x) = 2x - 3 and g(x) = x + 1

What I ask is the value of f(1 + g(2))


From a group of boys and girls, fifteen girls leave. Twice as many boys as girls are then left. Then forty-five boys leave. Five times as many girls as boys remain. How many boys and girls were in the initial group


If a - 1 = b + 2 = c - 3 = d + 4, which of the four quantities a, b, c, or d
is the largest

c is largest if I am not missing something, and there were 50 boys and 40 girls.

F(X), G(X)
5

MyO:
"c is largest if I am not missing something , and there were 50 boys and 40 girls. "

You are missing nothing, and yes, there were.

Mark:
F(X), G(X)
"5"

All done by 8.48am. This is getting serious. I must be loosing it faster than normal. Time to get a job as a NY cab driver, I think.


Three identical balls are marked 1, 2, and 3 and placed in an urn. One ball is drawn, its number is recorded, and then the ball is returned to the urn. After repeating this process twice more, the sum of the numbers recorded is 6.

What is the probability that the ball numbered 2 was drawn all three times


Three prime numbers (p, q, and r) satisfy p + q = r and 1 < p < q.
What is the value of p


Let a, b, c, and d be integers, with a < 2b, b < 3c, and c < 4d. If d < 100
What is the largest possible value for a

Balls:
1/7

Primes:
p=2

Integers:
a<=2367

Merlin:
Balls:
1/7

Primes:
p=2

Integers:
a<=2367

Can life get any worse? 23 minutes for three answers. Are the questions getting easier or, are you all getting smarter? :wink:


If three fair standard dice are tossed, what is the probability that the results will be three consecutive integers


Both A and B are positive integers, neither of them is divisible by 10, and
AB = 10,000.

Determine if you can the sum A + B.


When six gallons of gasoline are put into a car's tank, the indicator goes from ¼ of a tank to 5/8.

What is the total capacity of the gasoline tank

641 (625 and 16)

GASOLINE
16 gallons

DICE
1/9

Positive integers:
16*625=10,000
16+625=641

Edit: Oops.

Oh cruel world, how you mock me! Is there no question the wise cannot answer? :wink:

MyO:
"641 (625 and 16)"

Just to make sure.

Merlin:
Positive integers:
"16*625=10,000
16+625=641 "

Mark:
GASOLINE
"16 gallons"

DICE
"1/9"



A merchant paid $30 for an article. He wishes to place a price tag on it so that he can offer a 10 percent discount on the price marked on the tag and still make a profit of 20 percent on the cost.

What price should he mark on the tag


Tom earned 72% of the first 800 possible points in math class. To achieve an overall average of 80%, what percent of the remaining 400 points must he earn


Ted's drive from home to work is 25 miles. He drove to work in the morning at a rate of 40 mph. On the trip home, he drove at a rate of 50 mph.

What was his average speed for the entire trip

Discount:
$40.

Math:
96%

Speed:
44.4 mph

1 2 2 3 3 4
1 3 4 5 6 8

Two sets of three knights (one set black, the other white) are placed at opposite ends of a 3x4 board:



+----+----+----+
.| bk | bk | bk |
+----+----+----+
|-----|-----|-----|
+----+----+----+
|-----|-----|-----|
+----+----+----+
| wk | wk | wk|
+----+----+----+


Knights can not occupy one field together. The white and black knights can be switched in 16 moves. How?


whim