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Dr. Pepper, as always, a fountain of very interesting trivia. I never heard of this before. So if the quarter has no monetary value because it was dated differently, would they not then become a collectors’ item, and therefore MORE valuable?
oomis1105-
That’s why I specifically wrote “monetary value”, how much is it worth as money (if you were to bring it into the bank for example).
Dr. Pepper, the term “monetary value” doesn’t actually exclude the value of the coin as a collector’s item (since it generally indicates the money the item could be sold for). Although I understood your intent, it may have been more clear if you’d written “nominal value” or “face value”.
Oops, I added wrong! 16 cents!
There are four marbles of different colors: white, blue, red and green. You pick two with out replacement.
What are the chances of picking a non-green one in the first pick and a white one on the second pick?
“What are the chances of picking a non-green one in the first pick”
75%
“a white one on the second pick?”
25% (75% chance you didn’t pick white on the first pick * 33.3% chance you pick white on the second pick.)
The probability of picking a non-green one in the first pick AND picking a white one on the second pick is .1875 or 3/16 (.75 * .25).
Hmm, if I do it manually I come up with another figure:
.75 first choice is non-green
Assuming first choice is non-green, then probability of second choice being white is…
1/3 if first choice was either blue or red (2 possibilities)
0% if first choice was white (1 possibility)
(1/3 + 1/3 + 0)/3 = 2/9
.75 * 2/9 = 1/6
Kasha-
You could also calculate 50% (eliminate all groups starting with white or green) * %33… (the red and blue groups that have white as the second choice).
I can only try
So you agree with my second calculation.
Kasha-
Yes, I agree.
Initially you left the “green group” in your second number which gave you 3/9 instead of 2/9. You subsequently corrected it.
I came across this question while helping a 5th grader do his homework. While the answer is clearly 1/6 (use the brute force method if necessary) I’m curious to know if this is what the teacher had in mind.
(The question before was exactly the same except that the first marble was reblaced after noting what color it was.)
Dr. P-
The problem can be solved using a tree diagram, which is well within the capacity of a 5th grader to understand.
Depends on the 5th grader. The father who asked me to help his son couldn’t figure it out.
The topic itself was tree diagrams but I thought the question might have been tricky for a 5th grader who might not realize that the two events are not mutually exclusive.
Sure, and some fifth graders can’t do multiplication without a calculator either. Neither can some of their fathers. My point was only that the problem is reasonable for 5th grade level math.
In general, it is useful to have some tricky applications of skills learned. It challenges students to apply learning on their own and it helps educators make assessments of ability.
What Is So Rare…
answers to the clues below all contain the letters J-U-N in sequence
1) The second of the same name.
2) Twain’s villainous Native American.
3) A type of boat.
4) An overgrown tropical area.
5) A promotional trip.
6) A point in time.
7) A type of evergreen.
8) An assistant.
9) A key automobile component.
2. injun joe
9. enjun
4-jungle
6-junction
What Is So Rare…
answers to the clues below all contain the letters J-U-N in sequence
1) The second of the same name. Junior
2) Twain’s villainous Native American. Injun Joe
3) A type of boat.
4) An overgrown tropical area. jungle
5) A promotional trip. junket?
6) A point in time. junction
7) A type of evergreen. juniper
8) An assistant. adjunct ?
9) A key automobile component.
1. Junior
3. Junk
5. Junket
7. Juniper
9.
1) junior
5) junket
6) juncture
7) juniper
8) adjutant
Smartcookie’s answer for #6 reminded me of a clue for #10:
10) word that connects words, phrases, or clauses
sorry, #8 should have been “adjunct”, of course.
conjunction?
What Is So Rare… – answers
1) The second of the same name. Junior (oomis1105, ronrsr, anon for this)
2) Twain’s villainous Native American. Injun Joe (YW Moderator-80, oomis1105 [this answer also served as a clue for #9])
3) A type of boat. Junk (ronrsr)
4) An overgrown tropical area. Jungle (smartcookie, oomis1105)
5) A promotional trip. Junket (oomis1105, ronrsr, anon for this)
6) A point in time. Juncture (anon for this [this was a tough one, easily confused with junction])
7) A type of evergreen. Juniper (oomis1105, ronrsr, anon for this)
8) An assistant. Adjunct (oomis1105, anon for this)
9) A key automobile component. Enjun (YW Moderator-80 )
Injun Joe Junior (actually I.J. the sixth) was not like his father. He became an adjunct mechanic for a big outfit, specializing in enjun repair. One time he was taking a junk from the Amazon jungle on a junket that his company rewarded him with. At this juncture in time he was fortunate enough to see the famous ICOT Juniper tree on a deserted island that his ship passed on the way back to America.
I would have said “enjun” but I was wracking my brains for a REAL answer about the car. NO FAIR!
Oomis same here. I was like enjun???? Guess next time we will speak up!!
YW Moderator-80-
Not bad at all.
oomis1105-
“…NO FAIR!“
smartcookie-
“…I was like enjun????“
Heh, heh, heh. <— evil chuckle
([almost] Sorry! ?)
oomis, that’s right.
Funny thing is I answered “juncture” in my head to the question about a point in time (thinking, “at this juncture,”) but I still typed in junction, which I know is not correct. Pass the Ginko Biloba, please.
When was that?
1) Pluto lost its planetary status.
a) 1999
b) 2004
c) 2006
2) The NYC subway system stopped accepting tokens.
a) 2003
b) 2005
c) 2006
3) Domain Google.com was registered.
a) 1995
b) 1997
c) 2000
4) The Dow Jones Average fell more than 20% in a single day.
a) 1987
b) 1990
c) 1991
a) 1994
b) 1995
c) 1996
6) Lyndon Johnson dies.
a) 1973
b) 1975
c) 1976
a) 1982
b) 1983
c) 1984
8) Pennsylvania Avenue closed to vehicular traffic (in front of the White House).
a) 1995
b) 1999
c) 2001
9) The Concorde is retired.
a) 2002
b) 2003
c) 2004
a) 1974
b) 1975
c) 1977
11) Menachem Begin resigns.
a) 1983
b) 1987
c) 1989
12) The Kursk is lost with all hands.
a) 1999
b) 2000
c) 2005
13) Brooklyn joins New York City.
a) 1895
b) 1898
c) 1900
14) Man first walks on the moon.
a) 1968
b) 1969
c) 1971
15) Man last walks on the moon.
a) 1972
b) 1973
c) 1974
Results:
When was that? – Answers
1-c, 2-a, 3-b, 4-a, 5-c, 6-a, 7-c, 8-a, 9-b, 10-b, 11-a, 12-b, 13-b, 14-b, 15-a
ICOT, I gave a paper with the “What Is So Rare…” questions to my Mother, and within 10 minutes she got all the answers.
(She said 9 wasn’t so fair!)
Why isn’t it fair? Both Air France and BA retired their fleet in 2003.
Dr. Pepper, I was referring to What Is So Rare…, not When was that?.
9) A key automobile component. Enjun
Yes, my mother figured it out, but said its not a fair one!
Alphabet Soup
RISE
_ _ _ _
_ _ _ _
_ _ _ _
FALL
Name four valid English words that can be made using all of the following letters: AEGLLRY
CALM
_ _ _ _
_ _ _ _
_ _ _ _
WILD
(no unfair ones. really. ??? )
allergy
largely
gallery
allegory works if you are allowed to add a letter but I suppose you aren’t
remuneration
regally
RISE
RILE
FILE
FILL
FALL
CALM
CALL
WALL
WILL
WILD
Alphabet Soup – answers
RISE
RILE
FILE
FILL (Dr. Pepper)
FALL
Name four valid English words that can be made using all of the following letters: AEGLLRY
allergy (anon for this)
largely (anon for this)
gallery (anon for this)
regally (YW Moderator-80)
Mountaineer
)
But remuneration uses an extra letter. -77
CALM
CALL
WALL
WILL (Dr. Pepper [who is a man of letters as well as numbers])
WILD
Gut Shabbos
I can only try-
I prefer to call them variables but thanks for the compliment.
(is “them variables” anything like “them varmints”?)
Name That Name
Rembrandt- first name
*(I didn’t know this one)
YW Moderator-77-
“But remuneration uses an extra letter.“
That’s true, but I accidentally failed to specify that only the supplied letters could be used. Although a couple of “anon for this”s words weren’t what I had in mind, they fit the “rules” as given, so the review panel allowed them.
Peter Lawrence
Denton True
Cody
New Amsterdam
New York Highlanders
Baltimore Orioles
It wasn’t International Business Machines?
(EDIT: After checking — I see it wasn’t).
George Herman
I don’t even know whom you’re referring to here.
The Wolf
Name That Name – correction, addendum, and comment
Rembrandt – last name (Rembrandt was his first name)
For baseball fanatics only:
Dodgers’ – prior nickname, to honor the team’s newlyweds.
Boston, Milwaukee
Jay
Paul
I always assumed it was Joe.
Redlegs
Bees
Louis Sockalexis
Dodgers’ – prior nickname, to honor the team’s newlyweds.
Bridegrooms
The Wolf
Name That Name – answers
Rembrandt – last name van Rijn
For baseball fanatics only:
Dodgers’ – prior nickname, to honor the team’s newlyweds. Bridegrooms (WolfishMusings [Who would earn a 4.0 GPA if baseball was his major])
Gut chodesh.
A company has two new machines, the probability of either one breaking is uniformly distributed over 15 years (it has the same chance of breaking after half a year as it does after 15 years).
What is the probability of the two machines breaking within a year of each other?
Hint: It is easier to calculate the chances of them not breaking within a year of each other and subtracting that from 1.
A company has two new machines, the probability of either one breaking is uniformly distributed over 15 years (it has the same chance of breaking after half a year as it does after 15 years).
If they break down, are they fixed and put back in circulation, or is that the end of the machine?
The Wolf
Are they manufactured by the company that my office uses?
In that case I would say about 98% that they will both break down within the second year. (as soon as the warranty expires)
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