Other than
Some randomly chosen people are in a room. A mathematician walks in
and says that the probability that there exist at least two people with
the same birthday is just over
Imagine there’s a disease called ‘mathematitis’ which
Additionally, for person
Suppose you don’t know whether you have mathematitis, so you go to the doctors to take this test, and the test says you’ve got it! What’s the probability that you do actually have the disease?
Imagine that people are equally likely to be born in each of the
Some doctors make a new test for the disease ‘mathematitis’ which is
even better. This new test is
Paul goes to the doctor and test positive for mathematitis. What’s
the chance he actually has mathematitis? Recall that
Consider the following dice below:
That is, the green die on the left has sides
Imagine we both roll one die, and whoever gets the higher score wins. If I choose the green die, what die should you choose?
David and Eesa are playing a game with tossing a coin. They toss a
fair coin until the first time that one of the following two sequences
appears:
What are their chances of winning?
One hundred people are boarding on a fully-booked plane, and they all
have assigned different individual seats. The first person has forgotten
his boarding pass, so sits in a seat completely at random (that is, he’s
equally like to pick any of the
Then the second person will sit in their seat if it’s available. But if it’s taken, then they’ll sit in a random seat from those left available. Similarly the third person will sit in their seat if it’s available. But if it’s not, then they’ll sit in a random seat from those available. Each person from the second onwards to the hundredth follows these rules.
What’s the chance that the
Four mice are chosen (without replacement) from a litter, two of which are white. The probability that both white mice are chosen is twice the probability that neither is chosen. How many mice are there in the litter?
A flea hops about at random on the vertices of a triangle where each
hop is from the currently occupied vertex of one of the other two
vertices each with probability