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Created by Elexali Olayvar
about 3 years ago
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Based on the data in this two-way table, if a flower is picked at random, what is the probability that it's a pink rose?A.
0.063
B.
0.126
C.
0.190
D.
0.333
Based on the data in this two-way table, which statement is true?
A.
A flower being pink and a flower being a rose are independent of each other.
B.
A flower being pink is dependent on a flower being a rose.
C.
A flower being a rose is dependent on a flower being pink.
D.
A flower being pink and a flower being a rose are the same.
250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table. If a person is selected at random, what is the probability that the person is taller than 180 centimeters and has black hair?
A.
0.257
B.
0.351
C.
0.360
D.
0.116
Based on the data in the two-way table, which statement is true?
A.
P(consumes 1,000−1,500 calories|weight is 165) = P(consumes 1,000−1,500 calories)
B.
P(weight is 120 lb.|consumes 2,000−2,500 calories) ≠ P(weight is 120 lb.)
C.
P(weight is 165 lb.|consumes 1,000−2,000 calories) = P(weight is 165 lb.)
D.
P(weight is 145 lb.|consumes 1,000−2,000 calories) = P(consumes 1,000−2,000 calories)
Based on the data in this two-way table, which statement is true?
A.
P(flower is yellow|flower is rose) ≠ P(flower is yellow)
B.
P(flower is hibiscus|color is red) = P(flower is hibiscus)
C.
P(flower is rose|color is red) = P(flower is red)
D.
P(flower is hibiscus|color is pink) ≠ P(flower is hibiscus)
A random draw is being designed for 210 participants. A single winner is to be chosen, and all the participants must have an equal probability of winning. If the winner is to be drawn using 10 balls numbered 0 through 9, how many balls need to be picked, regardless of order, so that each of the 210 participants can be assigned a unique set of numbers?
A.
10
B.
4
C.
5
D.
3
Tim has an encyclopedia in 5 volumes: A–C, D–F, G–J, K–N, and O–Z. Other than alphabetically (ascending or descending), how many ways can these volumes be arranged?
A.
120
B.
118
C.
25
D.
insufficient data
Two spies have to communicate using a secret code. They need to create exactly 30 possible precoded messages, using a single number and letter. Which structure should the code have?
A.
Select a number from {1, 2, 3, 4} and a vowel.
B.
Select a number from {1, 2, 3, 4, 5} and a vowel.
C.
Select a number from {1, 2, 3, 4, 5, 6} and a vowel.
D.
Select a number from {1, 2, 3, 4, 5} and a consonant.
Lottery codes in the format XYZ are to be distributed. If X is an uppercase vowel, Y is an uppercase consonant, and Z can be any single-digit number, including 0, how many lottery codes are possible?
A.
1,000
B.
1,025
C.
1,050
D.
1,500
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has no oil and the test shows that there is no oil?
A.
0.09
B.
0.11
C.
0.44
D.
0.36
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. If the test predicts that Nathan is not allergic to penicillin, what is the probability after the test that Nathan is not allergic to the drug?
A.
0.1135
B.
0.2450
C.
0.9423
D.
0.9932
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts that there is no oil?
A.
0
B.
0.09
C.
0.11
D.
0.44
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has no oil and the test shows that it has oil?
A.
0.09
B.
0.11
C.
0.36
D.
0.44
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan had a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is allergic to penicillin and the test predicts it?
A.
0.005
B.
0.015
C.
0.245
D.
0.735
The probabilities of a particular soccer team scoring a goal within the first five minutes of the game are given in the table. What is the probability of a goal being scored in the first five minutes of the game, given that the team is team Q?
A.
1.24%
B.
2.86%
C.
3.56%
D.
insufficient data
The probabilities of different newspapers having an advertisement on the front page are given in the table. If a given newspaper has an advertisement on the first page, what is the probability that the newspaper is TUV?
A.
82.4%
B.
86.3%
C.
88.7%
D.
insufficient data
The probabilities by subject of on-time assignment submission and on-time arrival to class are given in the table. What is the chance that the subject is physics if an assignment is submitted on time?
A.
82.3%
B.
88.5%
C.
89.7%
D.
insufficient data
If a randomly selected orphaned pet in a St. Louis animal shelter is a dog of one the types shown in the table, what is the probability that it is a mastiff?A.
18.15%
B.
26.65%
C.
21.04%
D.
15.30%
The probabilities of contamination in medicine capsules from the presence of heavy metals and different types of microbes are given in the table. If capsule A shows microbial contamination, what is the chance that the contamination is from Salmonella?
The Breaker's Manufacturing Company makes 80% of a particular sensor, the Cartin Company makes 15% of them, and the Flutes Company makes the other 5%. The sensors made by Breaker's have a 4% defect rate, the Cartin sensors have a 6% defect rate, and the Flutes sensors have a 9% defect rate. If a sensor is randomly selected from the general population of all sensors, what is the probability that it is defective, given that it was made by Cartin Company?
A.
0.04
B.
0.05
C.
0.06
D.
0.15
Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand B. Of all these soft drink consumers, 20% prefer Brand A and are female, and 40% prefer Brand B and are female. What is the probability that a randomly selected consumer is female, given that the person prefers Brand A?
A.
0.18
B.
0.21
C.
0.34
D.
0.67
The Breaker's Manufacturing Company makes 80% of a particular sensor, the Cartin Company makes 15% of them, and the Flutes Company makes the other 5%. The sensors made by Breaker's have a 4% defect rate, the Cartin sensors have a 6% defect rate, and the Flutes sensors have a 9% defect rate. If a sensor is randomly selected from the general population of all sensors, what is the probability that it is defective, given that it was made by Breaker’s?
A.
0.04
B.
0.05
C.
0.15
D.
0.80
Of all the yoga students in a particular area, 20% study with Patrick and 80% study with Carl. We also know that 8% of the yoga students study with Patrick and are female, while 66% of the students study with Carl and are female. What is the probability that a randomly selected yoga student is female, given that the person studies yoga with Carl?
A.
0.35
B.
0.56
C.
0.69
D.
0.83
A class consists of 60% men and 40% women. Blond men compose 25% of the class, and blond women make up 20% of the class. If a student is chosen at random and is found to be a male, what is the probability that the student is blond?
A.
0.34
B.
0.42
C.
0.54
D.
0.63
