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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                                                  

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The reported net incomes for the first 2 years of Sarasota Products, Inc., were as follows: 2020, $155,500; 2021, $188,100. Earl
Phoenix [80]

Answer:

Dr retained earnings($21,600+$15,800) $37,400.00

Cr  accumulated depreciation                                         $21,600

Cr inventory                                                                       $15,800

Explanation:

The errors that require adjustment are the overstatement and understatement of depreciation expense as well as the December 2021 overstatement of inventory.

The understatement of inventory in 2020 would have self-corrected itself in 2021 since closing inventory in 2020 deducted from costs of goods available  for sale would be introduced as opening inventory in 2021.

net effect of depreciation=understatement -overstatement=$37,500-$15,900=$21,600.00

hence retained earnings would reduce by $21,600.00

for the overstatement of inventory,retained earnings would reduce by $15,800

5 0
3 years ago
Identify each of the following transactions as:
ale4655 [162]

Answer:

Explanation:

Basically there are three types of activities under the indirect method is shown below:

1. Operating activities: It includes those transactions which affect the working capital, and it records gain or loss on sale of the assets. Increase in current assets and decrease in current liabilities would be subtracted and the decrease in current assets and increase in current liabilities would be added

2. Investing activities: It records those activities which include purchase and sale of the fixed assets

3. Financing activities: It records those activities which affect the long term liability and shareholder equity balance.  

So, the item categorization under each activities are shown below:

a. Cash sale of land  - Investing activity (I) (+)

b. Issuance of long-term note payable in exchange for cash  - Financing activity (F) (+)

c. Depreciation of equipment  - Operating activity (O) (+)

d. Purchase of treasury stock  - Financing activity (F) (-)

e. Issuance of common stock for cash  - Financing activity (F) (+)

f. Increase in accounts payable  -   Operating activity (O) (+)

g. Net income  - Operating activity (O) (+)

h. Payment of cash dividend  - Financing activity (F) (-)

i. Decrease in accrued liabilities  - Operating activity (O) (-)

j. Loss on sale of land  - Operating activity (O) (+)

k. Acquisition of building by issuance of notes payable  - Non-cash investing and financing activity (NIF) as no cash transactions involves

l. Payment of long-term debt  - Financing activity (F) (-)

m. Acquisition of building by issuance of common stock  -  Non-cash investing and financing activity (NIF) as no cash transactions involves

n. Decrease in accounts receivable  - Operating activity (O) (+)

o. Decrease in inventory  - Operating activity (O) (+)

p. Increase in prepaid expenses - Operating activity (O) (-)

8 0
3 years ago
A company issued $50,000 of 8%, 10-year bonds on January 1. The bonds pay semi annual interest. The present value factor of a si
inessss [21]

Answer:

$22,820

Explanation:

Calculation to determine Determine the present value of the par value of the bonds.

Discount rate =8%/2

Discount rate= 4%

Present value factor of 20 periods at 4%= ( 1 / 1.04^20 )

Present value factor of 20 periods at 4%=0.4564

Using this formula

Present value of the par value of the bond = Future value of the bond x Present value factor =

Let plug in the formula

Present value of the par value of the bond=$50,000 x 0.4564

Present value of the par value of the bond = $22,820

Therefore the present value of the par value of the bonds is $22,820

6 0
3 years ago
You are given the following information for Watson Power Co. Assume the company’s tax rate is 23 percent. Debt: 8,000 5.7 percen
____ [38]

Answer:

the company's WACC is 10.04%

Explanation:

Weighted Average Cost of Capital (WACC) is the minimum return that a project must offer before it can be accepted. It shows the risk of the company.

<em>Capital Source           Market Value        Weight           Cost Total     Weight</em>  

Debt                            $8,400,000            27.71%             4.389 %      1.22%

Common stock           $24,190,000           71.17%              12.2%         8.68%

Preferred stock           $1,400,000              4.12%               3.5%         0.14%

Total                          $ 33,990,000          100.00%                            10.04%

<u><em>Calculation of Market Value and Cost of Debt</em></u>

Market Value = 8,000×($1,000×105%) = $8,400,000

Cost of Debt = interest × (1 - tax rate)

                      = 5.7% × ( 1-0.23)

                      =  4.389 %

<u><em>Calculation of Market Value and Cost of </em></u><u>Common stock</u>

Market Value = 410,000× $59 = $24,190,000

Cost of Common stock = Risk free Rate + Beta × Market Premium

                                       = 4.5% + 1.10× 7%

                                       = 12.2%

<u><em>Calculation of Market Value and Cost of </em></u><u>Common stock</u>

Market Value = 17,500× $80 = $1,400,000

Cost of Preferred stock = 3.5%

7 0
3 years ago
During​ February, assets increased by 87000 and liabilities increased by 31000 . Equity must have:___________.
Pie

Answer:

a. increased by $56,000

Explanation:

General accounting equation ;

Assets = Liabilities + Owners equity

Owners equity = Assets - Liabilities.

Therefore,

Increase in stockholder's equity

= $87,000 - $31,000

= $56,000

3 0
3 years ago
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