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Probability: Age 14-16
Working on these Stage 4 problems will help your students develop a better understanding of probability.
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problem
Favourite
The birthday bet
14 to 16
The next ten people coming into a store will be asked their
birthday. If the prize is £20, would you bet £1 that two
of these ten people will have the same birthday ?
problem
Marbles and bags
14 to 16
Two bags contain different numbers of red and blue marbles. A marble is removed from one of the bags. The marble is blue. What is the probability that it was removed from bag A?
problem
Taking chances
11 to 14
This article, for students and teachers, is mainly about
probability, the mathematical way of looking at random chance and
is a shorter version of Taking Chances Extended.
problem
Squash
16 to 18
If the score is 8-8 do I have more chance of winning if the winner
is the first to reach 9 points or the first to reach 10 points?
problem
Favourite
It's a tie
7 to 11
Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?
problem
Coin tossing games
14 to 16
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?
problem
Gambling at Monte Carlo
14 to 16
A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?
problem
Fixing the odds
14 to 16
You have two bags, four red balls and four white balls. You must
put all the balls in the bags although you are allowed to have one
bag empty. How should you distribute the balls between the two bags
so as to make the probability of choosing a red ball as small as
possible and what will the probability be in that case?