1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
raketka [301]
3 years ago
6

Eight equal-strength players, including Alice and Bob, are randomly split into 4 pairs, and each pair plays a game (i.e. 4 games

in total), resulting in four winners. What is the probability that exactly one of Alice and Bob will be among the four winners
Business
1 answer:
Minchanka [31]3 years ago
8 0

Answer:

probability that exactly one of Alice and Bob  will be among the winners is 0.5714

Explanation:

The question is to determine the probability that oneof Alice and Bob will be among the winners

It is also important to note that Alice and Bob cannot win at the same time

Therefore,

Probability of Alice and Bob split up = 6/7

Based on this probability, we make the case as follows

First case: Alice wins and Bob loses

Probability of Alice win = 1/2

Probability of Bob lose =                    1

Probability of Alice winning and Bob losing = 1/2 x 1/2 =1/4

Second Case: Bob wins and Alice loses

Probability of Bob win = 1/2

Probability of Alice lose =                    1

Probability of Bob winning and Alice losing = 1/2 x 1/2 =1/4

Third Case

The Probability that Alice and Bob play each other = 1/7

Based on all the estalished Cases

The required probability that exactly one of Alice and Bob  will be among the winners is

(6/7 x 1/4) + (6/7 x1/4) + 1/7

= (2 x 6/7 x 1/4) + 1/7

= 6/14 + 1/7

= 3/7 +1/7

= 4/7 = 0.5714                                                  

You might be interested in
Judy has worked in customer service for 11 years. She has learned to listen actively and communicate effectively with the custom
mixas84 [53]
C sounds most correct.
please vote my answer branliest! Thanks.
8 0
3 years ago
The Tony Hawk Skate Park has a 5 year instalment loan with monthly payments of $5.000 including interest Currently the first twe
Irina18 [472]
How is your break going ?
4 0
3 years ago
Lefave, Inc., manufactures and sells two products: Product Q1 and Product D5. Data concerning the expected production of each pr
Travka [436]

Answer:

Predetermined manufacturing overhead rate= $29.59 per direct labor hour

Explanation:

Giving the following information:

Total direct labor-hours 15,755

Total overhead:

Labor-related DLHs= $172,482

Product testing tests= $68,909

General factory MHs= $224,825

Total= $466,216

To calculate the predetermined manufacturing overhead rate we need to use the following formula:

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Predetermined manufacturing overhead rate= 466,216/15,755

Predetermined manufacturing overhead rate= $29.59 per direct labor hour

5 0
3 years ago
Suppose that a worker in Freedonia can produce either 6 units of corn or 2 units of wheat per year, and a worker in Sylvania can
prohojiy [21]

Answer:

a. 30 units of corn and 30 units of wheat.

Explanation:

Freedonia:<u><em> (without trade)</em></u>

6 corn   x 5 workred = 30 corn

2 wheat x 5 worked = 10

Fredonia <u><em>(with trade)</em></u> will focus on corn only:

6 corn x 10 workers = 60 corn

Then 30 are trade it out, leaving 30 corn

from trade it receives 30 units of wheat

total 30 units of both goods.

4 0
3 years ago
A firm agreed to pay its workers ​$2525 an hour in 2016 and ​$4141 an hour in 2017. The price level for these years was 241 in 2
NemiM [27]

Answer:

(a) 10.4%; 16.73%

(b) 6.33%

Explanation:

Given that,

Wages paid to the workers in 2016 = $25 per hour

Price level in 2016 = 241

Wages paid to the workers in 2017 = $41 per hour

Price level in 2017 = 245

Real wage rate in 2016:

= (Nominal wages ÷ Price level) × 100

= ($25 ÷ 241) × 100

= 0.104 × 100

= 10.4%

Real wage rate in 2017:

= (Nominal wages ÷ Price level) × 100

= ($41 ÷ 245) × 100

= 0.1673 × 100

= 16.73%

Therefore, the real wage increase received by these workers in​ 2017 is calculated as follows:

= Real wage rate in 2017 - Real wage rate in 2016

= 16.73% -  10.4%

= 6.33%

Hence, these workers do get a raise between the two years.

8 0
3 years ago
Other questions:
  • Six-month call options with strike prices of $35 and $40 cost $6 and $4, respectively. You plan to create a bull spread call (Bu
    10·1 answer
  • Hakimo Corp., a manufacturer of audio equipment, has developed a unique wireless speaker system that runs on solar power. The sp
    10·1 answer
  • 4.what is the multinational pact that calls for a worldwide reduction in greenhouse gases?
    6·2 answers
  • On January 1, 2017, Boston Enterprises issues bonds that have a $2,150,000 par value, mature in 20 years, and pay 6% interest se
    12·1 answer
  • Bigham Corporation, an accrual basis calendar year taxpayer, sells its services under 12-month and 24-month contracts. The corpo
    9·1 answer
  • Tim and Tammy are updating their financial plan and are concerned that they might not have enough life insurance coverage for th
    14·1 answer
  • Which of the following statements is​ false?A. In a​ make-to-order environment, the forecasts tend to be for groups of products.
    9·1 answer
  • 25 points
    15·1 answer
  • Which is true of an intrapreneur?
    15·1 answer
  • The most common definition that monetary policymakers use for price stability is
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!