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```Name _________________________________ Date _______________________ Period __________
Accelerated Algebra 1
Trigonometry and Probability
Quiz Review
When doing trig problems, think _____________________________________!
C
Write the trigonometric ratio for the angle indicated.
1. sin A  ______________
cos A  ______________
tan A  ______________
sin B = ______________
cos B = ______________
tan B = ______________
b
a
c
A
B
Find the indicated trigonometric ratio. Round your answer to the nearest ten-thousandth.
A
2.
F
3.
8
17.5
17
D
B
15
8.5
4
E
C
tan C  _______________
sin D  _______________
cos A  _______________
tan F  _______________
Use a calculator to find the value of each trigonometric ratio to the nearest ten thousandth.
4. sin 45 _______________
5. cos 45 _______________
6. tan 45 _______________
7. sin 47 _______________
8. cos 48 _______________
9. tan 64 _______________
A is an acute angle. Use a calculator to approximate the measure of A . Round your answer to the
nearest degree.
10. cos A  0.9613 __________ 11. sin A  0.7193 __________
12. tan A  2.4752 __________
13. tan A  8.8988 __________
15. sin A  0.3823 __________
14. cos A  0.2993 __________
Probability always ranges between the number _________ and ___________.
What is the difference between theoretical and experimental probability? _______________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
What is the difference between an independent event and dependent event? ___________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
State the probability of each event.
16. Choosing a day of the week that begins with T __________________
17. Selecting a month of the year that begins with A __________________
18. Selecting a face card from a standard deck of 52 cards __________________
19. Selecting a spade from a standard deck of 52 cards. __________________
20. Selecting a red card from a standard deck of 52 cards __________________
21. Selecting the queen of hearts from a standard deck of 52 cards __________________
22. A coin was flipped 50 times (as shown below). Find the EXPERIMENTAL probability of flipping
HHTTT
THHTT
THTHH
HTTTH
TTHTT
THTHT
HHTTT
HTHHH
THTHT
THTHT
Find the probability of each scenario. State whether it is an example of theoretical or experimental
probability.
23. Mike is dealt an ace of spades, 3 of hearts, 9 of spades, queen of hearts, 9 of diamonds and 7 of clubs.
What is probability that Kirsty will choose a 9 from his hand? _______________
Type: _________________________________
24. Cara rolls a regular number cube. What is the probability that she will roll an even number? ____________
Type: _________________________________
List the sample space for each event.
25. a number between 1 and 20 that is divisible by 3. __________________
26. Selecting a month of the year that begins with J. __________________
27. A die is rolled and produces an odd number. __________________
There are 5 red, 4 blue, 7 yellow and 2 green marbles in a box. One marble is chosen at random, find
each probability.
28. P(green) __________
29. P(red or blue) __________
30. P(black) __________
31. P(not yellow) __________
Find the probability if you spin the spinner and roll the die.
32. P(white, 2) __________________
33. P(black, 6) __________________
34. P(white, even) __________________
35. P(striped, less than 5) __________________
36. P(not striped, odd) __________________
37. P(green, odd) __________________
A shelf holds 3 novels, 2 biographies, and 1 history book. Two students in turn choose a book at random.
What is the probability that the students choose each of the following?
38. P(novel, novel) __________________
39. P(biography, biography) __________________
40. P(history book, novel) __________________
41. P(history book, history book) __________________
You can select only two cards from the right. Find the probability of selecting a T and an N for each
condition.
42. You replace the first card before drawing a second. _____________
43. You do not replace the first card before drawing a second. _____________
```
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