13 Dec 2009

QUIZZZ :D



1. You have a drawer in your bedroom that contains an assortment of black, blue and brown socks. You start randomly taking individual socks out of the drawer, but it's too dark to see what colour socks you have taken. How many socks do you need to take out in order to guarantee that you have got a matching pair?

a. 2
b. 3
c. 4
d. all but 2 of the socks in the drawer!


2. You are standing in front of the bathroom mirror and can see down to your navel. You walk back from the mirror. Can you now see:

a. More of yourself
b. The same amount
c. Less of yourself

3. You are at a wedding with 50 guests. What is the chance that among those guests there are at least two who share a birthday?

a. Almost certain

b. About 50-50
c. About 1 in 7
d. Extremely unlikely

4. Imagine a piece of string has been tied tightly around the earth's equator (assume the earth is a perfect sphere!), with thousands of children stationed around the earth next to the string. You now cut the string at one place, and add in one more metre of string to give it a little 'slack'. By how much can the children around the equator now lift up the string?

a. Not quite enough to squeeze a razor blade under
b. Enough for all simultaneously squeeze their hands under
c. Enough for them to put their fists under
d. Enough for them all to crawl under

5. You are listening to a random news story on the Today programme, which quotes some statistic, such as the number of refugees from a country, a company's profits, or the number of seconds it took a competitor to win a race. What is the chance that the first digit of the statistic is either a 1 or a 2 ?

a. Almost certain
b. About 50-50
c. About 2/9
d. Impossible to answer, depends on the story

6. A man leaves his tent. He walks 1 mile south. Then he walks 1 mile east. Then he walks one mile north. To his surprise, he now discovers that he is back at his tent, and at this moment he spots a bear. What colour is it?

a. Black

b. Brown
c. White
d. Pudsey


If you have any questions, feel free to leave your comment here okay :D


2 Dec 2009

Hey guys, today i came across this interesting problem and i think i should share it with all of you. Actually it's a rather FAMOUS puzzle which, i think, many of you heard about. It's called

THE MONTY HALL PROBLEM!

For the benefit of those who haven't heard about it and those who have heard about it but forgot what it was about, the problem goes like this:

In the 1960s, there was a popular weekly US television quiz show called Let's Make a Deal. Each week, at a certain point in the program, the host, Monty Hall, would present the contestant with three doors. Behind one door was a substantial prize; behind the others there was nothing. Monty asked the contestant to pick a door. Clearly, the chance of the contestant choosing the door with the prize was 1 in 3.

So far so good?

Now comes the twist. Instead of simply opening the chosen door to reveal what lay behind, Monty would open one of the two doors the contestant had not chosen, revealing that it did not hide the prize. (Since Monty knew where the prize was, he could always do this.) He then offered the contestant the opportunity of either sticking with their original choice of door, or else switching it for the other unopened door.

The question now is, does it make any difference to the contestant's chances of winning to switch, or might they just as well stick with the door they have already chosen?



Well, most people think that it makes no difference if they switch. Here is their reason:

"There are two unopened doors. The prize is behind one of them. The probability that it is behind the one I picked is 1/2, the probability that it is behind the one I didn't is also 1/2, so it makes no difference if I switch."


HOWEVER THAT EXPLAINATION IS WRONG!!
Why is it so??

Try to think about it before you look at the full and correct explaination here

The hint is "Switching actually DOUBLES the contestant's chance of winning"
Interesting??



Definitely!! Enjoy :D