Two brothers belong to a club with 10 members. Four are selected
for a match. Find the probability that both brothers are
selected. Which of these games would you play to give yourself
the best possible chance of winning a prize? 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
game that demands a logical approach using systematic working to
deduce a winning strategy To win on a scratch card you have to
uncover three numbers that add up to more than fifteen. What is
the probability of winning a From the atomic masses recorded in
a mass spectrometry analysis can you deduce the possible form of
these compounds? Can all but one square of an 8 by 8 Chessboard
be covered by When you think of spies and secret agents, you
probably wouldn’t think of mathematics. Some of the most famous
code breakers in history have been mathematicians. Imagine you
had to plan