Can You Take Half an Insect

I am an insect.  Take away half and you'll still have an insect, just not the same one.  

What am I?

Beheadings Are So 1700s

How will you behead sixty eight and leave eighteen?

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Put Down Your Pencils

Image by Horia Varlan via Flickr

Some pencils are erasers. All erasers are papers. Some papers are pens and some pens are erasers. So pencils are obviously pens? True or false?

I Was Late for That First Meeting to Schedule the Meeting About the Conference

Yesterday morning I ended up waiting for 30 minutes for a bus.  According to the schedule, a bus should arrive at my stop every 10 minutes.  That was the start of a particularly bad day for me.

Today, I woke up and felt like today was going to be better.  I expect when I show up at the bus stop, it will be either right there or come within the first minute.

Am I doomed to disappointment?

Randoml Picking Socks May Not Be the Best Spelling

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Yesterday I asked the following question. A drawer contains 4 blue socks, 6 gray socks, and 8 black socks. You randoml choose one sock, then another from the drawer. What is the probability that you choose 2 socks that match?

Since I meant randomly and not randoml, we decided the odds of picking a match on the first try was about 32%. Let's extend the problem a little bit.

If you hadn't picked a match the first time, I'm assuming you would pick again. What are the odds now? What would happen the third time? How long until you do find a match?

Dressing in the Dark Again

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A drawer contains 4 blue socks, 6 gray socks, and 8 black socks. You randoml choose one sock, then another from the drawer. What is the probability that you choose 2 socks that match?

Apple a Day Keeps the Barrels Away

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A barrel contains only apples and oranges. There are twice as many apples as oranges. The apples are either red or yellow and 4 times as many red as are yellow. If one piece of fruit is to be drawn at random from the barrel, what is the probability that the piece drawn will be a yellow apple?