You and I play a game involving successive throws of a fair coin.
Suppose I pick HH and you pick TH. The coin is thrown repeatedly
until we see either two heads in a row (I win) or a tail followed
by a head (you win). What is the probability that you win?
Age 14 to 16 Short Challenge Level:
I have 3 Elvis Presley CDs, 2 Beatles CDs and 1 Queen CD.
How many different ways can they be lined up on a shelf if I must keep all the CDs by the same artist together?
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice.