Probability and Combinatorics, algebra homework help
Probability and Combinatorics, algebra homework help
1) Brent started to solve the following probability problem as shown below:
A shipment at a department store contains 40 alarm clocks. 4 of them are defective. If 6 alarm clocks are removed from the shipment at random, find the probability that four of them are defective.
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Brent’s work: C(4, 4) = |
=1What is the correct next step to solve the problem?
A. 
B. 
C. 
D. 
2) Stacy started to solve the following probability problem as shown below:
Two cards are drawn from a fair deck of cards without replacement. Find the probability that both cards are Spades.
What is the correct next step to solve the problem?
A. s + f = 78 + 1325 = 1404
B. 
C. 
D. C(13, 2) • C(52, 2) =78 • 1326 = 103,428
3) Suppose the probability of success of an event is s and the probability of failure is t. What is s + t?
a. P(s) • P(t)
b. 0
c. 1
d. cannot be determined
4) Stephanie is solves the probability problem below incorrectly. In which line does she first make an error? Find and correct the error in this line.
Brittany plans to take Pre-Calculus, English 12, Physics, Physical Education, Economics, and Anthropology in her senior year. She hopes to have Pre-Calculus and Physics in the morning. What is the probability that her first two classes will be Pre-Calculus or Physics.
A. 
B. 
C. Line 4; correction: P(6, 6) = 6! • 6! =518,400
D.
5) A committee of four people is to be formed from 6 lawyers and 8 teachers. Find the probability that all of them are teachers. Round to the nearest tenth of a percent.
a. 36.0%
b. 89.0%
c. 1.1%
d. 7.0%
6) A committee of four people is to be formed from 6 lawyers and 8 teachers. Find the probability that two are teachers and two are lawyers. Round to the nearest tenth of a percent.
a. 42.0%
b. 4.3%
c. 7.0%
d. 75.0%
7) There are five seniors and four juniors are nominated for President, Vice President, and Treasurer of student government. A president will be chosen first. A vice president will then be chosen from the remaining nominees. A Treasurer is chosen last. Assuming that everyone has an equal chance of winning, what is the probability that a senior will win President and Vice President and a Junior will win Treasurer? Round to the nearest tenth of a percent.
a. 47.6%
b. 15.9%
c. 11.9%
d. 65.0%
8) Gina started to solve the following probability problem as shown below:
Three men and four women line up at a checkout counter at a store. Find the probability that the first two people in line are men and the last two people in line are women.
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Gina’s work:
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What is the correct next step to solve the problem?
a. 6 • 3 = 18
b. 6/3 = 2
c. 6 + 3 = 9
d. 6 – 3 = 3
9) Use the probability histogram below. According to the distribution, what is P(Age = 23)
a. 23%
b. 0.25%
c. 25%
d. Not enough information to tell
10) Which probability histogram can be used to represent the data below?
A.
B.
C.
D.
