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
After evaluating Null Company’s manufacturing process, management decides to establish standards of 3 hours of direct labor per
docker41 [41]

Answer:

Direct labor rate variance = (SR - AR) \times AH

October = ($15 - $15.20)  \times 16,250 = - $3,250 Unfavorable

November = ($15 - $15.25)  \times  22,000 = - $5,500 Unfavorable

Direct Labor Efficiency Variance = (SH - AH)  \times  SR

October = (16,800 - 16,250)  \times $15 = 8,250 Favorable

November = (18,000 - 22,000) \times $15 = - $60,000 Unfavorable

Direct Labor Cost Variance = Standard Cost - Actual Cost

October = $252,000 - $247,000 = $5,000 Favorable

November = $270,000 - $335,500 = - $65,500 Unfavorable

Explanation:

Computing variances for each month

Particulars                            October                  November          Equation

Total units produced           5,600 units             6,000 units            (a)

Standard hour per unit           3 hours                   3 hours                (b)

Total standard hour SH          16,800                   18,000              (c) = (a)*(b)

Total standard cost

of labor @ $15 SR per hour  $252,000                $270,000          (d) = (c) * 15

Actual hours used AH           16,250                    22,000                  (e)

Actual cost                            $247,000               $335,500                (f)

Actual Rate per hour AR          $15.20                   $15.25              (g) = (f)/(e)

Using the above information we have

Direct labor rate variance = (SR - AR) \times AH

October = ($15 - $15.20)  \times 16,250 = - $3,250 Unfavorable

November = ($15 - $15.25)  \times  22,000 = - $5,500 Unfavorable

Direct Labor Efficiency Variance = (SH - AH)  \times  SR

October = (16,800 - 16,250)  \times $15 = 8,250 Favorable

November = (18,000 - 22,000) \times $15 = - $60,000 Unfavorable

Direct Labor Cost Variance = Standard Cost - Actual Cost

October = $252,000 - $247,000 = $5,000 Favorable

November = $270,000 - $335,500 = - $65,500 Unfavorable

8 0
3 years ago
If the Chief Justice of the Supreme Court is part of the majority, he or she gets to write the _______.
joja [24]
When the court renders an opinion, the Chief Justice- when in the majority-decides who writes the courts' opinion. So the answer is C
7 0
3 years ago
Why does a surplus exist under a binding price floor?
klemol [59]

Answer:

it makes the price so low that the quantity demanded exceeds the quantity supplied on the legal market.

7 0
2 years ago
Given the following information, prepare an income statement for the Dental Drilling Company.
dmitriy555 [2]

Answer:

Results are below.

Explanation:

<u>Giving the following information:</u>

Selling and administrative expense $90,000

Depreciation expense 75,000

Sales 621,000

Interest expense 46,000

Cost of goods sold 231,000

Taxes 50,000

<u>With the information listed above, we need to make an income statement following the structure below:</u>

<u></u>

Sales= 621,000

COGS= (231,000)

Gross profit= 390,000

Selling and administrative expense= (90,000)

Depreciation expense= (75,000)

Interest expense= (46,000)

Eearning before taxes (EBT)= 179,000

Taxes= (50,000)

Net operating income= 129,000

8 0
3 years ago
.Grannis Corporation purchased land in order to construct a new factory . Expenditures incurred by the company were as follows:
katovenus [111]

Answer:

The amount recorded in the Land account is $61,200    

Explanation:

The cost of acquisition/purchase of a landed asset includes all the normal, reasonable and necessary costs incurred in obtaining the land and getting it ready for use. These cost includes the price of the land, the legal fees, title fees, taxes, excavation costs etc. On the other hand, cost of improvements on the land are recorded on improvement on asset accounts, where depreciation is put in consideration when computing cost. This is separate from acquisition cost because, there is no depreciation on a land. The cost is calculated as follows:

purchase price = $ 45,000

broker's fees    = $   8,000

accrued taxes  = $    2,000

demolition        = $    2,700

grading             = $    1,500

excavation       =  $    2,000

Total                 =  $ 61,200

6 0
3 years ago
Other questions:
  • _____ work for a manufacturer and promote the manufacturer's products to other firms that buy the products from distributors or
    13·1 answer
  • The AW Direct trucking company recently had to terminate one third of its employees and restructure various divisions. Some empl
    13·1 answer
  • How did speculative investing weaken the stability of the stock market
    12·1 answer
  • Iron Works International is considering a project that will produce annual cash flows of $38,200, $46,900, $57,600, and $23,100
    6·1 answer
  • What is pure competition?a. A theoretical market structure with very large numbers and identical products.b. A theoretical marke
    8·2 answers
  • Moody Corporation uses a job-order costing system with a plantwide predetermined overhead rate based on machine-hours. At the be
    9·1 answer
  • A partially amortizing mortgage is made for $60,000 for a term of 10 years. The borrower and lender agree that a balance of $20,
    9·1 answer
  • Which is not a feature of the four‑firm concentration ratio? a) It is an indicator of the oligopolistic nature of an industry. b
    12·1 answer
  • The amount you pay for an insurance policy; can be paid monthly, quarterly, semi-annually, or annually.
    5·1 answer
  • Which knowledge area has been identified by architects, carpenters, and building inspectors as important in their work?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!