Mathematics : alebra 2 - probability using comninatorics, algebra homework help


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.

Brent’s work:

C(4, 4) = =1

What is the correct next step to solve the problem?

A.
B.
C.
D.

=======================

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

--------------------

Suppose the probability of success of an event is s and the probability of failure is t. What is s + t?


P(s) • P(t)

0

1

cannot be determined

==============

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.

==========================

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.


36.0%

89.0%

1.1%

7.0%

=====================

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.


42.0%

4.3%

7.0%

75.0%

===============

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.


47.6%

15.9%

11.9%

65.0%

====================

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.

Gina's work:

C left parenthesis 3 comma space 2 right parenthesis space equals space fraction numerator 3 factorial over denominator 2 factorial 1 factorial end fraction equals 3 C left parenthesis 4 comma space 2 right parenthesis space equals space fraction numerator 4 factorial over denominator 2 factorial 2 factorial end fraction equals 6

What is the correct next step to solve the problem?


6 • 3 = 18

6/3 = 2

6 + 3 = 9

6 - 3 = 3

==================

Which probability histogram can be used to represent the data below?

A.

B.

C.

D.


====================

Use the probability histogram below. According to the distribution, what is P(Age = 23)


23%

0.25%

25%

Not enough information to tell

Answers

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