ALGEBRA 2 TEST REVIEW PERMUTATIONS COMBINATIONS AND PROBABILITY VHHS SPRING 2016

ROLL TWO STANDARD DICE: MAKE A SAMPLE SPACE FOR THE POSSIBLILTIES FIND THE PROBABILITY OF ROLLING A 10 FIND THE PROBABILITY OF NOT ROLLING A 10 FIND THE PROBABILITY THAT THE SUM IS LESS THAN OR EQUAL TO 8 F. DESCRIBE A SITUATION IN RELATION TO THE SAMPLE SPACE THAT RESULTS IN A PROBABILITY OF 2 3

2. A SACK CONTAINS THE BALLS FROM A POOL TABLE, I.E., BALLS MARKED FROM ONE THRU FIFTEEN. SEVEN ARE STRIPPED AND 8 ARE SOLID. FIND THE PROBABLITIES. YOU RANDOMLY PULL A BALL FROM THE BAG AND REPLACE IT. THEN YOU DRAW A SECOND BALL. 1ST EVENT: YOU DRAW A STRIPPED BALL 2ND EVENT: YOU DRAW A SOLID BALL. B. YOU DON’T REPLACE THE FIRST BALL 1ST EVENT: THE FIRST BALL IS 5 2ND EVENT: THE SECOND BALL IS GREATER THAN 8

3. A BOX CONTAINS 8 CHOCOLATE AND 10 VANILLA COOKIES. A COOKIE IS TAKEN FROM THE BOX AT RANDOM AND EATEN. A SECOND COOKIE IS TAKEN AT RANDOM AND EATEN. WHAT IS THE PROBABILITY THAT BOTH COOKIES WERE VANILLA?

4. HOW MANY PERMUTATIONS ARE THERE FOR THE LETTERS IN THE WORD: BOOKKEEPER ADDRESSEE SLEEPLESSNESS

5. HOW MANY WAYS CAN YOU ARRANGE 8 KNICKKNACKS ON A SHELF?

6. SUPPOSE YOU NEED TO SEND 5 STUDENTS TO REPRESENT YOUR CLASS AT THE NEXT ASSEMBLY. HOW MANY WAYS CAN YOU CHOOSE THE 5 STUDENTS FROM 28 STUDENTS?

7. IF THERE ARE 35 PEOPLE RACING BICYCLES FROM HERE TO THE TOP OF MOUNT WILSON, HOW MANY WAYS CAN THEY COME IN FIRST, SECOND AND THIRD?

8. YOU ARE SENDING IN SAMPLES OF YOUR ART IN ORDER TO BE CONSIDERED FOR ENTRANCE TO AN ART SCHOOL. THE SCHOOL WANT TO ONLY CONSIDER 5 OF YOUR PIECES. HOW MANY WAYS CAN YOU CHOOSE 5 ART PIECES FROM 18?

9. YOU ARE STACKING BOXES SO THAT EACH ROW HAS TWO MORE BOXES THAN THE PREVIOUS ROW. IF THE BOTTOM ROW OF YOUR STACK HAS 45 BOXES, HOW MANY BOXES CAN YOU STACK USING THE GIVEN PATTERN.

10. GIVEN THE FOLLOWING FUNCTION: STATE THE END BEHAVIORS OF THE FUNCTION FACTOR THE FUNCTION COMPLETELY FIND ALL ZEROS OF THE FUNCTION SKETCH THE GRAPH OF THE FUNCTION

11. SIMPLIFY

12. KNOW WHAT AN INDEPENDENT AND DEPENDENT EVENT IS.

13. KNOW THAT A PERMUTATION IS AN ORDERING AND FOR A COMBINATION ORDER DOESN’T MATTER.

14. The number of unique orderings of the Letters {2,4,6,8} is?

15. How many times does the following Function bounce off the x-axis.

16. SIMPLIFY THE FOLLOWING

17. SIMPLIFY THE FOLLOWING

18. USING THE FORMULA, FIND THE SUM OF THE FIRST 8 TERMS OF THE FOLLOWING SEQUENCE:

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