Algebra II Honors/Gifted Name___________________________________ @

Period_____Date_________________________

INTRODUCTION TO COUNTING PRINCIPLES HANDOUTINTRODUCTION TO COUNTING PRINCIPLES HANDOUT1) Define :

a) experiment - ____________________________________________________________________

b) event - __________________________________________________________________________

c) sample space - __________________________________________________________________

d) outcome - _______________________________________________________________________

e) probability - _____________________________________________________________________

2) If you roll a fair die, find the probability you roll a :

a) 3 _____ b) 5 _____ c) even number _____

d) 4 or less _____ e) 7 _____ f) 6 or less _____

3) Look at your answers to 2e) and 2f).a) What is the probability of an impossible event? _______

b) What is the probability of a certain event? _______

4) If you roll two fair dice, in how many ways can you roll a :

2 _____ 3 _____ 4) _____ 5) _____ 6) _____ 7) _____

8) _____ 9) _____ 10) _____ 11) _____ 12) _____

Two fair dice, a green die and a red die, are tossed. Find the probability of each of the following events.

a) The total is 10. _______b) The total is at least 10. _______ c) The total is less than 10. ______

d) The total is at most 10. _______ e) The total is 7. _______ f) The total is 2. _______

g) The total is between 3 and 7, inclusive. _______ h) The total is between 3 and 7. _______

i) The total is between 2 and 12 inclusive. _______ j) The total is 13. _______

k) The numbers are 2 and 5. _______ l) The green die has 2 and the red die has 5. _______

m) The green die has 2 or the red die has 5. _______5) Lauren tosses a penny and a nickel in the air. Each can land “heads” or “tails”. List all possible outcomes.

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6) Alex’s new car’s license plate has 3 letters followed by 3 digits.

a) How many possible such license plates are there? ___________________

b) Same experiment as 6a), except you can not repeat letters and no digit may be 0.

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7) Hannah has set up a maze so that her pet mouse, Christopher, can go from point A to point B in four different ways and from point B to point C (where the cheese is) in 3 different ways.

a) How many ways are there for Christopher to go from point A to point C?

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b) How many ways are there for Christopher to go from point A to point B or from point B to point C?

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8) Jiayi’s summer reading list includes 10 non-fiction and 12 fiction books. In how many ways can Jiayi choose :

a) a non-fiction book and, then, a fiction book? _____________________________________

b) a non-fiction book or a fiction book? _____________________________________________

c) a non-fiction book and, then, another non-fiction book? ___________________________