doesrtthave mixed probability ws date: 2016-2017 it
TRANSCRIPT
Mixed Probability WS Date: Mutually Exclusive vs. Overlapping
Conditional Permutations vs. Combinations
1) You spin a spinner with 10 equal sections that are numbered 1 through 10. What is the probability of rolling an odd number or a number greater than 5?
2) You shuffle the cards shown below and choose one at random. What is the probability that you choose a gray card or an even number?
3) The following chart shows information for people who visited a movie theater. Discount Admission Regular Admission Total Purchases a snack 24 72 Purchases no snack 36 108 Total
a) What is the probability that a visitor purchases a snack given that the visitor pays for a discount admission?
b) What is the probability that a visitor purchases no snack and regular admission?
4) You flip a coin three times. Find the probability you get two heads.
5) A number from 1 to 10 is randomly chosen. Find each probability.
a) P(even or 7) b) P(even or odd)
c) P(multiple of 2 or multiple of 3) d) P(odd or less than 3)
6) A computer password can use all digits (0 –9) and all letters (a–z) that are case sensitive (upper and lower). How many different permutations of 5-figure passwords are there if there is no repeated input?
( Doesrtthaveindependent ) 2016-2017
PtAuB3.PtDi.p4plAupD.PlBlAtMptfaTgF4nPripnrtynCrirEntry.PAHPLBj.p@np.MbBgivehAnoverlaporrepeatsatElp.s
,7,9
overlappingPLAUB)=P(odd )+P(>D . overlap= ,o±+Fo - Fo= ,8g=€j
P(gray )+P(even) - overlapoverlapping 0
O 7€ + § .
Fs=Yh=5÷6144
60 180 240
conditional P( snackldiscomt)= } =Yg=@-
just overlap pfnosnaoknrg )= ' { =Ffcombo - Corder doesn't matter
nK= 23=8
not . }cz=I÷⇒ HA :@ME
.
=3- ME
- S -
=1
It'soverlapping overlapping
74,618,10-
3,619= ¥0
It,} . to
" }To ttf - to to 262=52
4
permutations ! n(s)=6zPs=652¥ - 776520240 ways
7) Brandon is rolling a 10-sided number cube 5 times. What is the probability that he will roll at least two 7s?
8) A box contains three blue marbles, five red marbles, and four white marbles. If one marble is drawn at random, find:
a) )|( whitenotblueP b) )|( whitenotrednotP
9) When rolling two fair number cubes, what is the probability that the sum of the two cubes will not be even or prime?
10) A spinner is numbered 1-10 with each number equally likely to occur.
a) What is the probability of landing on a number less than 3 or greater than 6?
b) What is the probability of landing on an odd number or a multiple of 3?
11) The probability that Sue will go to Mexico in the winter and to France in the summer is 40.0 . The probability that she will go to Mexico in the winter is 60.0 . Find the probability that she will go to France this summer given that she just returned from her winter vacation in Mexico.
12) Twenty-six tiles with the letters A through Z are placed face down on a table and mixed. (For the purpose of this exercise assume that the letter Y is a vowel.) Five tiles are drawn. Compute the probability that only consonants are selected.
13) The two-way table shows the results of a poll in a certain country that asked voters, sorted by political party, whether they supported or opposed a proposed government initiative. Find the given probabilities. a) P (no party or undecided) b) P (𝑝𝑎𝑟𝑡𝑦 𝐴 𝑜𝑟 𝑠𝑢𝑝𝑝𝑜𝑟𝑡)𝑐 14) A farmer wants to know if a particular fertilizer can cause blackberry shrubs to produce fruit early. Using the following two-way table, compute the probability a plant that did not receive fertilizer produced fruit early.
2,314,57 's
combo- C
national :5¥÷c¥t¥÷i¥=2#=@Qntotd =3@ ±
Conditional ⇒ 12
overlapping -
,
¥34unanwprimesi.es#E.*t*5=4HHI,KtaHoiwtTe
.
7,81910 " 1¥M€
get
,±o=o6=@
-
siteeven uprinx '
overlapping
}Mb°'2655=53%565780 zocj.se?f5#=l55o4f555p04@
Overlapping. 56+68-26 ,
qq.gg#t(B8th92oiY=h6@1- PC party AUSVPPOD
conditionalptfnutearlylgotn)
..tt#.Fo=u@