A bus has some number of people initially. At first stop, three quarters of the passenger get off, and 7 get on the bus. At the second stop, the same thing happened, three quarters of the passenger get off, and 7 get on the bus. At the third stop, exactly the same thing happened as previous two stops. What is the minimum number of passengers to start with?
What is the minimum number of people you need to put in a room so that at least five of them share a birth month?
One coin is continuously flipped. If a HHT comes up before HTT then A wins, else B wins. What is the probability that A wins?
They asked me what the probability was of there being at least 4 heads in 7 coin flips
Chance of seeing star in 1 hour is 60%. What is the chance seeing star in half an hour? etc..
You have a bag of coins of which one half are real and the other half are fake. You need to pay for 1 1/2 hours of parking at a meter where one quarter gives you 15 minutes. Every time you put in a fake quarter the meter time is reset to 0. How many coins will you have to pull out of the bag ?
hh ht ht tt, one h, probability of the other is h?
I play a game where I start with a score of 100. I then flip 10 coins in a row. Every time I get a head I add 1 to my score. When I get a tails I take the reciprocal of my score. If you are running this game, and people are given their score in pounds at the end of the game, how much would you charge people to play?
There are 1000 people in a hall. One person had his hand painted. Every minute everyone shake their hand with someone else. How much time is needed to paint all the hands? What is the best scenario? What is the worst scenario?
It is noon. The hour hand and minute hand overlap. When is the next time these two hands overlap again?
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