ITT: Post Mathematics (2U) Questions/Problems (3 Viewers)

iBibah

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Here is a good probability question from the 80s:

A small town has 1000 telephone numbers consisting of the numbers 5000 to 5999 inclusive.
a. How many of these numbers end in 3?
b. You remember only that a friend's telephone number ends in 2 and has 4 as one (or both) of
its two middle digits. What is the probability that the number is 5142?
 

EpikHigh

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Here's the old chessboard problem, dunno if anyone's posted it yet.

The man who invented the chessboard goes to the king and delivers it and says, I would like 1 grain of rice for each tile but doubling each time, (8x8 Chessboard) so he starts with 1 grain of rice fro the first, 2 for the second, 4 for the 3rd, 8 for the 4th, 16 for the 5th, 32 for the 6th..... n amount for nth term. How much rice does the man get all together?
 

Sy123

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Another question I thought up

 

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