Trig/Math Analysis _ Name _ Probability

Transcription

1 Trig/Math Analysis _ Name _ Probability prac t- e QUIZ IC 1a. How many combinations can be formed 1b. How many combinations can be formed using the letters in the word PHYSICS, taken 6 at using the letters in the word VERTICAL, taken 6 a time? at a time? C- ~7 7 UJ 2a. If you have 5 flowering plants, in how many 2b. If you have 8 flowering plants, in how many ways can you arrange two of your plants on a ways can you arrange two of your plants on a 3a. How many different signals can be made by 3b. How many different signals can be made by displaying four pennants, all at one time, on a displaying six pennants, all at one time, on a a) All four pennants are a different color a) All six pennants are a different color P 5 "2 1. _/ Three are yellow and one is green L{ I. ~ == Lj b) Five are yellow and one is green 4a. How ~ h o l e numbers less than 4b. How many odd whole numbers less than 1000 can be formea using the integers 2, 3, 4, 1000 can be formed using the integers 2, 3, 4, and 5?,..f:' I - Z. and 5? Df\J VU1)7 - z.. -+u.v d-j ~ t ~ ~.L ~ Y.~ :;, a. A pizza parlor offers two types of crust, 4 5b. A pizza parlor offers two types of crust, 6 types of meat and 6 other toppings. How many types of meat and 8 other toppings. How many different pizzas can be ordered if each pizza must different pizzas can be ordered if each pizza must

2 6a. Many radio stations have 4-letter call signs...possible if letters can be repeated? \. 20 ' 2~ -,210 = 17 J 51& 6b. Many TV stations have 3-letter call signs possible if letters can be repeated? 7a. In how many ways can 3 red, 4 blue and 2 green pens be distributed among 9 students gt 3 I, Lf ~ 2 1 : IJ 2LP 0 8a. How many ways can the letters of the word TUESDAY be arranged? 7 I ::. to ) 9a. Telephone numbers in the U.S. and Canada have 10 digits as follows: lriigit line number: not all zeros Q.'2-'_' '.a.:.lq ' ~'JQ J.Q jq - I} z \ ,/./)00 )./ '" 10a. How many 8-card hands can be selected 7b. In how many ways can 5 red, 4 blue and 2 green pens be distributed among 11 students 8b. How many ways can the letters of the word MONDAY be arranged? 9b. Telephone numbers in the U.S. and Canada have 10 digits as follows: 4-digit line number: not all zeros 10b. How many 6-card hands can be selected a) all four aces a) all four aces c.' b) three face cards \2.. ~ 40 5./..J 11a. How many 3-letter subsets can be formed form the letters in the set {P, Q, R, S}? Specify the subsets Ll o'fdev- i ~ y; 0(; LX \ ~ ip, Q,fC,1 1J»)R-,S ~ i~, JS1 r- 1Q,~J 5 $ C, -: 1447(0 I7~ D b) three face cards 11b. How many 4-letter subsets can be formed form the letters in the set {P, Q, R, S, V}? Specify the subsets.

3 12a. A coin and a die are tossed. Specify each The number turned up on the die is less than 4 2( \-1 ) I) ( \-\,7-) (I 1 5) (T/ I ') ( ~ 2..)( 3)? L) J ) ) ) I ~ odd number. 1CGI)j C~3) ) ( \ ) tj)~ 13a. One card is drawn at random from a 52 a) It is a club \3 I 52.. ::. :;:r b) It is a _J,52..-? c) It is a 4 or 5 1. L\ ~ - :. 2. ~2.. ~ S2. :: 2- \ 3 14a. There are 3 red, 3 white, and 3 green balls in a bag. Two are drawn at random. Let A be the event that at least one ball is red. Let B be the ~nt that both b lis are the same color. n( ( r'" ;. ~ _,j., Au - a. +- J _ 2.. r I~...I 'I. c~ ~!:b J ~ - 3 ~- a) Find P(A), P(B, p( AnB) and P(AUB 1 P(A-J =. ~.L 2:,r!.., "/-- 1:1 p l 13 =- 3 z.1-~ 2..l.~ 2 12b. A coin and a die are tossed. Specify each a) The number turned up on the die is less than 3 even number. 13b. One card is drawn at random from a 52 a) It is a heart b) It is a 9 c) It is a 2 or 7 14b. There are 3 red, 3 white, and 3 green balls in a bag. Two are drawn at random. Let A be the event that at least one ball is green. Let B be the event that both balls are the same color. a) Find P(A), P(B), p(anb) and P(AUB) qc-1.. '\ ~:z Co l.. ~u. b) Are the events A and B mutually exclusive? Y Independent? at- vyu.j..j.val l JX cjja"?i1\c e e 15a. On a certain day, the probability that it will snow in Anchorage is 80%, and in Tokyo, 30%. (I~ ) (,l) 1- ( 12) (,3; + (\ ~ )(.7, \ LP b) Are the events A and B mutually exclusive? Independent? 15b. On a certain day, the probability that it will snow in Anchorage is 60%, and in Tokyo, 40%. 16a. A 12-member jury is selected from 8 men and 10 women. Find the probability that the. C.. C.., a) six men and six women 'i" ~ 10 b _ /1 - '.., I L- ~... \ c; I~ 16b. A 12-member jury is selected from 9 men and 13 women. Find the probability that the a) six men and six women b) at least six men

4 Trig/Math Analysis Qlliz Name _ Probability practice 1a. How many combinations can be formed 1b. How many combinations can be formed using the letters in the word PHYSICS, taken 6 at using the letters in the word VERTICAL, taken 6 a time? at a time? 2a. If you have 5 flowering plants, in how many 2b. If you have 8 flowering plants, in how many ways can you arrange two of your plants on a ways can you arrange two of your plants on a 3a. How many different signals can be made by 3b. How many different signals can be made by displaying four pennants, all at one time, on a displaying six pennants, all at one time, on a a) All four pennants are a different color a) All six pennants are a different color I... ", Three are yellow and one is green b) Five are yellow and one is green U '. ~ -;. &, --.:. 4a. How many even whole numbers less than 4b. How man~efhole numbers less than 1000 can be formed using the integers 2, 3, 4, 1000 can be forme a using the integers 2, 3, 4, and 5? and 5?...,, ' t- Z 7. OWL vu ~. A <:... """1 ' 7-0 +tuj / 1 -; AV.e-c cu' J- L{,.<-f ' t a. A pizza parlor offers two types of crust, 4 5b. A pizza parlor offers two types of crust, 6 types of meat and 6 other toppings. How many types of meat and 8 other toppings. How many different pizzas can be ordered if each pizza must different pizzas can be ordered if each pizza must

5 5a. Many radio stations have 4-letter call signs )2Qssible if letters can be repeated? 5b. Many TV stations have 3-letter call signs possible if letters can be repeated? 7a. In how many ways can 3 red, 4 blue and 2 green pens be distributed among 9 students 8a. How many ways can the letters of the word TUESDAY be arranged? 7b. In how many ways can 5 red, 4 blue and 2 green pens be distributed among 11 students I ~ 5 t.!..f. I, 2,1. :: u)q3.d 8b. How many ways can the letters of the word MONDAY be arranged? 9a. Telephone numbers in the U.S. and Canada have 10 digits as follows : 'iigit line number: not all zeros 10a. How many 8-card hands can be selected 9b. Telephone numbers in the U.S. and Canada have 10 digits as follows: 4-digit line number: not all zeros ~I '_ 1.LIB. J.Q, 'iq' 1O,~ 'lq.. -I i ~ 1)02.-3 ) 'tq7 ) ( JOO 10b. How many 5-card hands can be selected I' a) all four aces b) three face cards 11 a. How many 3-letter subsets can be formed form the letters in the set {P, Q J R, S}? Specify the subsets. a) all four aces \\ Z8 J c.. c... :: 2\13(000 b) three face cards \ / J

6 12a. A coin and a die are tossed. Specify each 12b. A coin and a die are tossed. Specify each I"'-"The number turned up on the die is less than 4 a) The number turned up on the die is less than 3 [ th) )(t1/2) } ( ~ 1 ) / ':2.-) S odd number. 13a. One card is drawn at random from a 52 even number. 1(.: Jeri Y / ( 1 0 )1 13b. One card is drawn at random from a 52 a) It is a club a) It is a heart -\7, 62.. b) It is a 10 c) It is a 4 or 5 b) It is a 9 c) It is a 2 or 7 I - ~ ;. - ~ \ 5 2 I ~ 52 ~ 5 "2 _ ' z, - \3 14a. There are 3 red, 3 white, and 3 green balls in a bag. Two are drawn at random. Let A be the event that at least one ball is red. Let B be the r ent that both balls are the same coior. a) Find P(A), P(B), p(anb) and P(AUB).. b) Are the events A and B mutually exclusive? Independent? 15a. On a certain day, the probability that it will snow in Anchorage is 80%, and in Tokyo, 30%. 16a. A 12-member jury is selected from 8 men and 10 women. Find the probability that the a) six men and six women ~ / at least six men 14b. There are 3 red, 3 white, and 3 green balls in a bag. Two are drawn at random. Let A be the event that at least one ball is green. Let B be the event that bo balls are the same color. ~ I P (A(\g)~ ~;: ~(p P( AUG :: 0-4o tr- 3 (0 :: - a) Find P( A, P(B), p(anb) and P(AUB) ~ P(A-) :. /~' 1..-.\- 3~, '<oc...1 :: 1 P( F;;)~ 3 2!-'3~t c.2 ~ '\ C '2. I?.. c, c. 'Z, ::. l/i J b) Are the events A and B mutually exclusive? l Independent? 0+ V\J...U1v {;\ \ \~ -e. xclu"ifi.e Nor i not'pengt f nt 15b. On a certain day, the probability that it will snow in Anchorage is 60%, and in Tokyo, 40%. (. ~;(.b) + (, ~') (. 4) 4 c10')(.4) ~.7 (p 16b. A 12-member jury is selected from 9 men and 13 women. Find the probability that the e.,. C a) six men and six women q (p 1?J to _ l1:: c. ~ 3'2.3 b) at least six men ~ c. ~ 'I"'C- re. '\C- 1 \~5 90 z"c.!f qq.,!',r;3 jj1 ft.r ~ + (1 -I,:20 - ::: 1, VI 2. "Z.'2.-L-, "-"\oy Z,'2.--\...o- Iz,