Download section 4 review

Chapter 4 Review
1) A manufacturer tested 1000 Ford F250’s at
random and found 15 of them to have a
cosmetic defect. If one F250 is selected at
random:
a) Determine the empirical probability the truck
has a cosmetic defect.
b) Estimate the number of F250’s out of
100,000 will have a cosmetic defect. (Round to
the nearest whole number)
2) A TV remote control has keys for channels 0
through 9. If you select a key at random,
a) What is the probability you do not press
channel 6?
b) What is the probability you press a key
for a number greater than 4?
3) Each individual letter of the word
Mississippi is placed on a piece of paper, and all
11 pieces of paper are placed in a hat. If one
letter is selected at random from the hat, find the
probability that: (Write your answers as a
reduced fractions.)
a) the letter s is selected
b) the letter i or s is selected
4) A box contains 9 red and 2 blue marbles and
3 yellow marbles. If you select one at random
from the box, determine: (Write your answer
using colons, make sure to reduce.)
a) The odds against selecting a red marble.
b) The odds in favor of selecting a blue
marble
#5-7: A card is picked from a deck of cards.
Find the odds against selecting: (Write your
answer using colons, make sure to reduce.)
5) a heart
6) a seven
7) a black card
8) A couple plans to have two children.
a) Determine the number of points in the
sample space of the possible arrangements
of boys and girls.
b) Construct a tree diagram and list the
sample space.
Find the probability the couple has:
c) more than 1 girl
d) A boy and a girl
9) A coin is tossed three times and a sequence
of heads and tails is recorded.
a) Determine the number of points in the
sample space
b) Construct a tree diagram and list the sample
space
c) Find the probability that exactly one head is
tossed
#10 – 11: a single dice is rolled one time. Find
the probability of rolling (Write your answer as
a reduced fraction.)
10) An odd number or a number less than 4
11) A number less than 3 or greater than 4
#12 – 14: One card is selected from a deck of
playing cards. Find the probability of selecting:
(Write your answer as a reduced fraction.)
12) A queen or a heart
13) A club or a four
14) A heart or a spade
#15 – 16: One marble is selected from a bag
that contains 4 red, 5 white, 6 blue and 2 yellow.
Find the probability of selecting: (Write your
answer as a reduced fraction.)
15) A red or a blue marble
16) A yellow or a red marble
#17-18: Two cards are selected at random from
a deck of 52 cards WITHOUT replacement.
Find the requested probabilities, (write your
answer as a reduced fraction.)
17) Both cards are hearts
18) The first card is not a heart and the second
card is a heart
#19-20: Two marbles are drawn from a bag that
contains 5 blue, 3 red and 2 purple marbles
WITH replacement. Find the requested
probabilities: (Write your answer as a reduced
fraction.)
19) Both are blue
20) The first is red and the second is not blue
#21 – 23: Create a reduced sample space and
find the requested probabilities. A pair of dice
is rolled and the sum of the dice is recorded,
determine the probability that: (Write your
answer as a reduced fraction.)
21) The sum is greater than 10 given the second
dice is a 5.
22) The sum is even given the first dice is a 2
23) The sum is greater than 4 given the first
dice is a 1
#24 – 25: At a zoo, a sampling of children was
asked if the zoo were to get one additional
animal, would they prefer a lion or an elephant.
The results of the survey follow: (Write your
answer as a reduced fraction.)
Lion
Elephant
Total
Boys
90
110
200
Girls
75
85
160
Total
165
195
360
If one child who was in the survey is selected at
random, find the probability that
24) The child selected the elephant, given the
child is a girl.
Lion
Elephant
Total
Boys
90
110
200
Girls
75
85
160
Total
165
195
360
25) The child is a boy, given the child preferred
the lion.
26) A lock combination consists of three
numbers between 0 and 30 inclusive. How
many combinations are possible, assume
repetition is NOT allowed?
27) A social security number consists of nine
digits. How many different social security
numbers are possible if repetition of digits is
permitted?
#28-29: an identification code is to consist of
two letters followed by 4 digits. How many
different codes are possible if
28) The first letter must be A, or an E and the
first number must be a 1 and repetition is not
permitted?
#28-29: an identification code is to consist of
two letters followed by 4 digits. How many
different codes are possible if
29) Repetition of numbers is NOT permitted,
but repetition of letters is permitted?
30) How many ways can the letters of peppers
be arranged?
31) You plan go on a trip and want to upload a
few videos to watch on the plane. You only
have storage capacity to add 8 new videos, but
have 20 videos to choose from. How many
combinations videos can you choose?
32) How many groups of 3 sevens can be made
from the 4 sevens in a deck of cards?
33) 4 members of a club will be selected to
attend a conference. The club has 5 female and
3 male members. How many different groups
can be selected if 1 male and 3 females must be
selected?
34) A class of 25 people contains 5 freshmen.
If 4 people from the class are selected at
random, find the probability that none of those
selected are freshmen. (Write your answer as a
percent reduced to one decimal.)
35) A committee of 6 is to be randomly
selected from a group of 7 teachers and 8
students. Find the probability the committee
will consist of 3 students and 3 teachers. (Write
your answer as a percent reduced to one
decimal.)
36) 2 cards are drawn from a standard deck of
cards. What is the probability that 1 is a heart
and the other is black? (Write your answer as a
percent reduced to one decimal.)
Answers:
1a) 15/1000 = 1.5% 1b) 100,000*.015 = 1500
trucks 2a) 9/10 = 90% 2b) 5/10 = 50%
3a) 4/11 3b) 8/11 4a) 5:9 4b) 2:14 or
1:7 5) 3:1
6) 12:1 7) 1:1 8a) 4 8b) bb bg gg gb
8c) ¼ = 25% 8d) 2/4 = 50%
9a) 8 9b) hhh hht hth htt thh tht tth ttt 9c)
3/8 = 37.5% 10) 4/6 = 2/3 11) 4/6 = 2/3
12) 16/52 = 4/13 13) 16/52 = 4/13 14) 26/52
= 1/2 15) 10/17 16) 6/17
17) 1/17 18) 13/68 19) ¼ 20) 3/20 21)
2/6 = 1/3 22) 3/6 = ½ 23) 3/6 = ½
24) 85/160 = 17/32 25) 90/165 = 6/11 26)
31*30*29 = 26,970 27) 3,628,800
28) 25,200 29) 3,407,040 30) 420 31)
125,970 32) 4 33) 30 34) 38.3% 35)
39.2%
36) 25.5%