geometry b - unit 6: probability lessons 24-28

melina stocks her fruit stand with organic and non-organic fruits and keeps track of what is sold. the results are shown in the following probability distribution table. what is the probability that a randomly selected apple is non-organic?

0.19

given that p(c) = 0.4 and p(c and d) = 0.08, what is the probability of event d?

0.2

suppose you conduct an experiment in which you draw a single card from a standard deck of 52 cards. which events are mutually exclusive? select all that apply.

0.25 of 1 choosing a card that is a heart and an odd number choosing a card that is an ace and a four

which pairs of events describe independent events? select all that apply.

0.25 of 1 rolling a six-sided die and having it land on a 3, and then rolling a six-sided die and having it land on a 2. entering a raffle 3 times and winning one prize, and then winning another prize in the same raffle.

a junior high principal runs a report to determine what ratio of all 100 students take the bus to school or are dropped off by parents, based on grade (seventh grade or eight grade). the results are shown in the following probability distribution table. what is the probability that a student is in seventh grade, given that he/she is dropped off by parents?

0.27

drinks are prepared and arranged on a table for a party. the probability that a drink is grape juice is 0.3. the probability that a drink has a straw is 0.3. the probability that a drink is grape juice and has a straw is 0.1 use the addition rule to determine the probability that a drink is grape juice or has a straw.

0.5

the following two-way frequency table shows information collected from a survey of teenagers regarding how they spend their screen time and whether they wear glasses. what is the probability that a teenager wears glasses, given that he or she watches tv?

0.5

which equation shows the correct use of the addition rule to determine the probability that the pillow is either encased in microfiber or filled with memory foam?

0.5 + 0.7 - 0.3 = 0.9

the following two-way frequency table shows information collected from a survey of students regarding their grade level and how they spend their screen time. what is the probability that a student uses the Internet, given that he or she is in eighth grade?

0.62

the following two-way frequency table shows information collected from a survey of teenagers regarding their weekly reading habits. what is the probability that any teenager reads books?

0.62

given that p(a) = 0.5 and p(a and b) = 0.4, if a and b are independent events, what is the probability of event b?

0.8

you roll a standard six-sided die. the probability of not rolling a prime number = (blank) which phrase correctly completes the sentence?

1 - p(rolling a prime number)

what is the probability that a mystery box contains chocolate, chips, and juice?

1/24

given the following probabilities, for what p(b) are events a and b independent?

1/3

given the following probabilities, for what p(b) are events a and b independent? p(a) = 1/2 p(a and b) = 1/6

1/3

if p(a) = 1/2, p(a and b) = 1/6, and p(a or b) = 2/3, what is p(b)?

1/3

what is the probability that a woman was wearing a belt, given that the woman was also carrying a purse?

1/3

what is the probability that the coin lands with the heads side up on all 3 flips?

1/8

what is the probability that a student participates in clubs, given that the student is a girl?

10/17

a card is chosen at random from a standard deck of 52 playing cards. what is the probability that the chosen card is a jack or an ace?

2/13

given the following probabilities of mutually exclusive events, what is p(b)? p(a) = 1/5 p(a or b) = 4/5

3/5

what is the probability that students who have a cat also have a dog?

3/5

what is the probability of randomly drawing 1 card that is both a club card and a face card?

3/52

two fair six-sided dice are rolled. what is the probability that the sum of the numbers rolled is either 6 or 12?

5/36 + 1/36 = 1/6

what is the probability that a book contains animal characters given that it is a graphic novel?

7/10

the probability of event a is 10%. what is the probability of its complement event?

90%

what is the probability of randomly drawing 1 card that is both a red card and a face card?

XXX 2/13 XXX 19/26 XXX 15/26

the following two-way frequency table shows information collected from a survey of attendees at a neighborhood meeting regarding how many people have a dog and how many people take walks in the neighborhood. what is the probability that a randomly selected person does not take walks in the neighborhood but has a dog?

XXX 7/10

which answer shows the intersection of a and b?

a ∩ b = {2, 4, 8}

lesson 26

conditional probability

an experiment consists of rolling a standard six-sided die once. event a is "rolling an even number" and event b is "rolling a 2." are the events dependent or independent? why?

events a and b are dependent, because p(b) =/ p(b | a)

an experiment consists of drawing a single card from a standard deck of 52 cards. event a is "drawing a heart" and event b is "drawing a face card (jack, queen, or king)." are events a and b dependent or independent? why?

events a and b are independent, because p(b) = p(b | a) = 3/13

checkpoint: which pairs of events describe independent events? select all that apply.

flipping a coin and having it land with the tails side up; drawing a 7 from a standard deck of cards. rolling a standard six-sided die and having it land on a 1; selecting a blue block from a tub of red and blue blocks.

members at a recreation center can choose whether or not to play sports. which fact establishes the observation that "a member is a girl" is independent from the observation "a member plays sports"?

girls make up the same fraction of members that play sports as do not play sports.

lesson 25

independent events

a candy bag contains 13 green, 2 blue, 10 red, and 5 orange candies. you choose 4 candies from the bag without looking. which answer describes an event that is certain in this context?

no more than half of the candies drawn are blue.

if p(a) = 3/5, p(b) = 1/3....

no, because 3/5(1/3) ≠ 1/8

lesson 28

probability of unions of events

a sock drawer has 5 black socks, 10 white socks, and 6 multicolored socks. schaid will randomly pull out 2 socks without looking in the drawer. which answer describes an event that is not possible in this context?

schaid draws a white sock and a green sock.

lesson 24

sets in probability

freshman and sophomore students at a high school must take an art class. they can choose either photography or drawing. which fact establishes that the observation "a student is a sophomore" is independent from the observation "a student is taking photography"?

sophomores make up the same fraction of students taking photography as those taking drawing.

what is represented by the shaded area?

the complement of a

if s is the event of drawing a spade card, which of the following events is the complement of s?

the event of drawing a heart, club, or diamond card

lesson 27

two-way frequency tables

if p(a) = 3/8...

yes, because 3/8(1/3) = 1/8

the following two-way frequency table shows information collected from a survey of teenagers regarding how they spend their screen time and whether they wear glasses. are "does not wear glasses" and "uses the internet" independent, and why?

yes, because.... 0.14 = 0.15

the following two-way frequency table shows information collected from a survey of teenagers regarding how they spend their screen time and whether they wear glasses. are "wears glasses" and "watches tv" independent, and why?

yes, because........ 0.20 = 0.20

a = {1, 2, 3, 4, 5} b = {5, 6, 7, 8} which answer shows the union of sets a and b?

{1, 2, 3, 4, 5, 6, 7, 8, 9}

you roll a standard six-sided die. if e is the event that an even number is rolled, which of the following events is the complement of e?

{1, 3, 5}

a = {1, 2, 3, 4, 5} b = {5, 6, 7, 8, 9} which answer shows the intersection of a and b?

{5}

you write the letters of the word regulate on separate slips of paper and place them in a bowl. you draw 3 slips of paper from the bowl (without replacement). which answer is a possible subset for the sample space?

{e, g, e}

which answer shows the union of sets a and b?

a∪b = {2, 3, 4, 6, 7, 8, 9}

the following two-way frequency table shows information collected from a survey of high school students regarding whether they are on the academic honor roll and whether they play sports. match each blank to the value that correctly fills in that blank in the table.

blank a: 40 blank b: 41 blank c: 47

the following two-way frequency table shows information collected from a survey of high school students who were asked if they used the social media sites chatalong and photofriends. match each blank to the value that correctly fills in that blank in the table.

blank a: 57 blank b: 9 blank c: 22