Probability and Statistics: Probability Word Problems
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Probability and Statistics: Probability WordProblems
A cheese pizza can be ordered
A cheese pizza can be ordered with some, all, or none of the following toppings: sausage, pepperoni, ham, peppers, mushrooms, olives, anchovies, pineapple, and ...
A mall has 12 clothing stores
A mall has 12 clothing stores, 9 shoe stores and 5 electrical stores. In how many ways can a person shopping at this mall go to 5 clothing ...
A bag contains 3 red, 4 green and 3 yellow marbles
A bag contains 3 red, 4 green and 3 yellow marbles. These marbles are randomly drawn from the bag. What is the probability that they are of
(i) the same colour
(ii) different colours(one of each colour)
A jar of marbles contains 6 yellow and 8 red marbles
A jar of marbles contains 6 yellow and 8 red marbles. Three marbles are selected at random.
a) How many different groups of three marbles are possible?
b) How many groups of three marbles will contain only red ...
Test for high school students
Test for high school students with a 3.50 to 4.00 grade point average were normally distributed, with a mean of 38.8 and a standard diviation of 1.9. A student with a 3.5 to 4.00 grade point average who took the standarized tes is randomly ...
30% of a firm`s orders come from new customers
30% of a firm's orders come from new customers. A simple random sample of 100 orders will be used to estimate the proportion of new customers. Find probability that sample proportion will be between 0.22 and 0...
John wants to paint four rooms
John wants to paint four rooms in his house, each a different color and he may choose from seven different colors of ...
In France, years of life expectancy
In France, years of life expectancy are normally distributed with a mean of 81 years and a standard deviation fo seven years. For the French population:
a) What is the probability of living 92 years or ...
A barrel contains only apples and oranges
A barrel contains only apples and oranges. There are twice as many apples as oranges. The apples are either red or yellow and 4 times as many red as are yellow. If one piece of fruit is to be drawn at random from the ...
There are three sections of science class available
There are three sections of science class available at the convinient times for student. There is 24% chance from Professor Praful to give final exam, 15% chance for professor Ron, and 8% chance for Professor Sam to give final exam. At other times there are two maths classes, and in those the probability to give final exam is 2% and 10%...
A bag contains 6 blue discs
A bag contains 6 blue discs, 10 orange discs and 4 red discs. If a disc is picked at random, what is the probability of getting :
a ...
Lisa is planning the seating
Lisa is planning the seating for a head table at a gala. The eight speakers will all be seated along one side of the table. Richard wants to be sit beside Hang, and lisa knows that Thomas and Lily should not be seated together, as they have just broken ...
43% are wearing seatbelt
43% are wearing seatbelt and 57% are not wearing seatbelt. Randomly pick 2 people. What is probability that both will be wearing seatbelt
In how many ways can 7 boys
In how many ways can 7 boys be seated at a round table so that two particulars boys are next to each other?
The letters of the word
The letters of the word STATISTICS are written on ten cards. If two cards are drawn at random, what is the probability that
1) one S and one T will occur
2) two T will occur
Steve and Joe were discussing
Steve and Joe were discussing how many different five-card combinations of standard playing cards have exactly two ...
probability
Two cards are simultaneously drawn from an ordinary ...
Kate has a red pair of shoes
Kate has a red pair of shoes, a blue pair of shoes, and a green pair of shoes. She has a yellow and an orange ...
probability
29 out of 200 chickens contaminated. If chicken infected, test will return positive 80% of the time. If chicken not infected, test will return "false" positive 5% of the time.
If test is ...
If there are 25 names in a hat
If there are 25 names in a hat, 15 girl’s names and 10 boy’s names, what is the probability that a name drawn at random will be
I. a girl’s name
II. a boy’s name
III. not a girl’s name
IV. not a boy’s name
There are 3 bags of apples
There are 3 bags of apples, one has two green apples, one has two red apples and one has 1 green and 1 red apple. All three bags are mislabeled. You may look at only one apple from any one of the ...
If the chances of snow or sleet last Saturday
If the chances of snow or sleet last Saturday was three out of ten and the chance of snow or sleet this Saturday was four out of ten what were the chances of snow or sleet happening both weeks?
A student notices that if he is late
A student notices that if he is late for college on one day, he is three times more likely to be late on the next day. If he is early on one day, he is equally likely to be early or late on the next day.
Draw a tree diagram to show all the possible outcomes for three successive days. ( Assume that the student was early on the day before the 3 days under consideration.)
Of the 148 students honored at an academic banquet
Of the 148 students honored at an academic banquet, 40 won awards for mathamatics and 82 for English. One of the 148 students is chosen at random to be inter viewed for a newspaper article. What is the probability that the student won an award in matematics or ...
In a certain high school 65% of students
In a certain high school 65% of students own cell phonoes. 35% own MP3 players. 20% own both cell phones and MP3 players. Identify the probability that a student has either a ceell phone or an MP3 players. Identify the paobaility that a student has only an MP3 ...
A bag contains five red candies
A bag contains five red candies, six white candies, and seven blue candies. Suppose one piece of candy is drawn at random. Find the probability of each of the following.
a. A white candy is drawn.
b. A red or blue candy is drawn.
...
In a fair game two guys bet
In a fair game (50/50 chance of winning) two guys bet $100 each. The first one to win 6 games takes the pot. They decided to stop when A had won 5 games and B had won 3 ...
Jim sells soup at his stand
Jim sells soup at his stand. He sells lentil, split pea, and navy bean soup. They also come in four different ...
There are 3 sky blue marbles
There are 3 sky blue marbles and 3 hot pink marbles in a bag. What is the probability that I will draw out 1 sky blue ...
A drawer contains 4 blue socks
A drawer contains 4 blue socks, 6 gray socks, and 8 black socks. You randoml choose one sock, then another from the ...
During a root enzyme experiment
During a root enzyme experiment, Grace determined the dry weight of mustard roots so she could make some calculations. These were pretty small mustard plants so she had to use a good balance to get the data. She measured one set (A) of roots and obtained masses of 0.06, 0.09, 0.08, 0.05, and 0.05 grams. Another set (B) had masses of 0.1, 0.11, 0.09, 0.11, and 0.04 ...
A jar on your desk contains twelve black
A jar on your desk contains twelve black, eight red, ten yellow and five green jelly beans. You pick a jelly bean without looking. Find
a) the probability that it is red or black
b) the probability that it is not yellow
c) the odds of picking a green jelly bean
d) the odds in a favor of picking a red or black jelly bean
A hat contains 26 names
A hat contains 26 names, 16 of which are male. If six names are randomly drawn from the ...
The probability that San Francisco plays
The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1...
76% of second grade girls
76% of second grade girls are taller than 40 inches, the average height of second grade girls is 42 ...
A drawer contains 8 red socks
A drawer contains 8 red socks, 3 white socks, and 5 blue socks. Without looking, you draw out a sock and then draw out a second sock without returning the first ...
One-fourth of the residents of the Burning Ridge Estates
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open whe they are away from home. The local cheif of police estimates 5 percent of the garages open will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is ...
A recruiting firm finds that 30% of the applicants
A recruiting firm finds that 30% of the applicants for a certain industrial job have advanced training in computer programming. Applicants are interviewed sequentially and selected at random from the ...
Adam has a bag of marbles
Adam has a bag of marbles. There are 5 red marbles, 6 blue marbles and 2 yellow marbles. If he takes one marble out of his bag at ...
A drawer has 6 gray socks
A drawer has 6 gray socks, 4 blue, 5 black, and 9 white socks. You are looking for a pair of socks, so you take one, put it aside, and then take another ...
A deck of cards has 5 purple
A deck of cards has 5 purple, 4 gray, and 6 green cards. You pick 4 cards from the deck. Cards are not returned to the deck after they are picked. P (four purple cards in a row)
You have 8 DVDs
You have 8 DVDs: 2 science fiction, 2 western, 3 comedy, 1 drama. If you choose the DVDs at ...
Hank has 34 green lures
Hank has 34 green lures, 42 silver lures, 18 orange lures, and 23 yellow lures in his fishing box. If he grabs 1 fishing lure without ...
Martha has six brown socks
Martha has six brown socks and eight black socks. If she randomly selects two socks from the drawer ...
A jar contains 7 red marbles
A jar contains 7 red marbles, 7 pink marbles, and 13 blue marbles. If a marble is selected at random, what is the probability that it is blue?.
An office consists of 80 employees
An office consists of 80 employees: 20 of them are male, and 56 of them are from NJ. If the events of selecting a male and selecting a NJ resident are independent, how many of the employees are male NJ residents? Hint: make a 2x2 table with rows ...
Jukebox contains only 3 records
Jukebox contains only 3 records: blue moon, blue suede shoes, and blue monday, probability that blue moon is playing is 1/6 and probability blue suede shoes is playing is1/3...
In a bag there are three coloured balls
In a bag there are three coloured balls, one red, one blue, and one green. A ball is selected, the colour recorded and replaced. A second ball is selected and the colour recorded.
Show in a tree diagram all the possible combined outcomes.
List these combined outcomes.
Work out the probability of selecting 2 red ...
A shoebox has 4 green cubes
A shoebox has 4 green cubes, 3 purple cubes, and 5 orange cubes. Whats the probability of:
a.) P(2 purple cubes)
b.) P(2 cubes of the same color)
c.) P( 1 green, 1 purple)
d.) P( at least 1 orange cube or 1 purple cube)
Two cards are chosen at random
Two cards are chosen at random (uniformly) from a 52 card deck. Find the probabilities of the following events.
(a) Both cards are red.
(b) One card is an even number, 2-10, while the other is a spade.
(c) One card is black, while the other is a face card (jack, queen or king).
(d) Either both the cards are black, or both the cards are face cards (...
Find the probability of each outcome
Find the probability of each outcome if two marbles are selected from the bag containing 3 red marbles, 4 blue marbles, and 2 green marbles. the first marble is not replaced before the second marble is selected
- selecting a blue marble first
- selecting a yellow marble first
- selecting a red marble followed by a blue marble
- selecting a green marble after selecting two marbles that are not green
A jar contains 5 blue marbles
A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking. Find P (blue or purple)...
Teacher knows that 80 percent of the students
Teacher knows that 80 percent of the students will complete the assigned problems. She has also determined that among those who do their assignments, 90 percent will pass the course. Among those students who do their homework, 60 percent will pass. Mike Fishbaugh took statistics last year and ...
The probability that San Fransisco plays
The probability that San Fransisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Fransisco plays in the next Super Bowl plus the probability that they do not play is ...
If the city of Esperanza is 9000 miles from Davao
If the city of Esperanza is 9000 miles from Davao, and Davao is 9000 miles from New York City, what is the probability that New York City is closer to Esperanza than Davao? (Circumference of the earth is 24,900 miles)
Suppose that 49% of the women who gave birth
Suppose that 49% of the women who gave birth at a certain hospital last year were over 30 years old, and that 47% were unmarried. If 74% of the women were over 30 or unmarried (or both)...
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