2. In a family of three children, what is the probability that 2 of the
children will be girls?

3. Find the theoretical probability of flipping three pennies and getting
at least 1 heads.

4. The cafeteria special for lunch offers a choice between two main
courses (hamburgers or chicken burgers) and three different drinks.
The "meal deal" allows you to pick one of each. How many different
"meal deals" are they offering?
What if they offer to throw in a choice of fries, spicy fries or plain chips;
how many "meal deals" are they offering now?

5. How many four­digit even numbers are there if the same digit cannot
be used twice?

6. (a) The last part of your telephone number contains four digits.
How many such four­digit numbers are there?
b) How many such four­digit numbers are there if the same
digit cannot be used twice?
c) How many four­digit numbers begin with a 2 ,4 or 0 if the
same digit cannot be used twice?

7. Suppose that, when you go to school from home, you like to take as
great a variety of routes as possible, and that you are equally likely to
take any possible route. You will walk only east or south.
(a) How many ways can you go to
the post office?
(b) How many ways can you go to
school?
(c) What is the probability that you will walk past the post office on
your way to school?

9. How many ways can the word RIVER be found in the array of letters shown
to the right if you start from the top R and move diagonally down to the
bottom R?
R
I I
V V V
E E
R

10. How many ways can the word
"MATHEMATICS" appear in
the following array if you must
spell the word in proper
order?

11. The diagram below shows a game of chance where a ball is dropped as
indicated, and eventually comes to rest in one of the four locations
labelled A, B, C, or D. The ball is equally likely to go left or right each time
it strikes a triangle. We want to determine the theoretical probability of a
ball landing in any one of these four locations. To do this, we need to
know the total number of paths the ball can take, and also the number of
paths to each location.