A man went to Monte Carlo to try and make his fortune. Whilst he
was there he had an opportunity to bet on the outcome of rolling
dice. He was offered the same odds for each of the following
outcomes: At least 1 six with 6 dice. At least 2 sixes with 12
dice. At least 3 sixes with 18 dice.
Two bags contain different numbers of red and blue balls. A ball is
removed from one of the bags. The ball is blue. What is the
probability that it was removed from bag A?
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?
By "completely" we mean a son which
has both his grandfather's
eyes and his hair. Based on
this fact, can you now guess Bob's hair colour and genotype? How
can Bob be absolutely sure that he can't have an auburn son?
On the other hand, Alice has hopes
having a daughter not looking like herself, but like her mother.
But since Alice is brown - eyed, what does this mean about her
mother? What can we conclude about the genotype of Alice?