Name _____________________________
  Date ___________________
Counting Principle
Find the number of possible choices when you choose one item from each category.

1.   14 boys, 12 girls
2.   8 pens, 2 notebooks

3.   3 shorts, 4 pairs of shoes, 3 sweaters

4.   14 flavors of ice cream, 4 cones

5.   5 sizes, 4 flavors

6.   5 vegetables, 4 desserts, 3 drinks

 

Using a standard deck of 52 cards. A deck consists of four suits (hearts, diamonds, clubs, spades) containing 13 cards each: A,K,Q,J,10,9,8,7,6,5,4,3,2). Red suits are hearts and diamonds. Black suits are clubs and spades.

7. What is the probability of drawing a 10?
8. What is the probability of drawing 5 spades?
9. What is the probability of getting 4 of a kind?
10. What is the probability of getting a flush. (All cards of the same suit)
   
11.   The testing department of a text book company randomly draws a sample of 20 books and finds that 7 covers are defective. If the books are produced in batches of 1000, how many defective widgets should the company expect?

12.   Mr Wissing randomly chooses a sample of 10 students and asks them to answer an Algebra problem. 8 students answer correctly. If SHS has 600 students how many would you expect to answer the question correctly?

13. If you create a password that must consist of 2 letters followed by 2 digits, how many possible passwords could you create? Assume you can use 0-10 as your digits.
14. How many ways can a 5 question multiple choice test be answered. There are 4 choices a,b,c,and d for each question.
15. If you create a password that must consist of 1 letter followed by 3 digits, how many possible passwords could you create? Assume you can use 0-10 as your digits.
16. How many ways can a 5 question true false test be answered. Assume you can answer true, false, or leave the answer blank.
   
   
   
   
   
    

 

Answer Key 1057588
1168 possible choices
216 possible choices
336 possible choices
456 possible choices
520 possible choices
660 possible choices
721 possible choices
89 possible choices
925 possible choices
10336 possible choices
111,232 possible choices
1263 possible choices
1332 possible choices
1430 possible choices
15180 possible choices
1625 possible choices
1754 possible choices
1824 possible choices
1924 possible choices
205,760 possible choices
2111,466 possible choices
2248 possible choices
239 possible choices
2475 possible choices
2510 possible choices
2642 possible choices