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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 HEADS in the experiment. HHTTT THHTT THTHH HTTTH TTHTT THTHT HHTTT HTHHH THTHT THTHT Experimental Probability (heads) = ______________ 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. _____________