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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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Explanation:

Primary product dependency discourages investment in other aspects of the economy. Concentrating on primary products does not always help the long-term development of an economy because it can contribute to a lack of investment in other aspects such as education and industrial production.

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Assuming Gerald has $50,000 income in 2020, (and considering both at-risk and passive activity loss rules), what is the amount o
Masteriza [31]

Answer:

Please see attachment

Explanation:

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5 0
3 years ago
If the appropriate discount rate for this bond is 6%, what would you be willing to pay for ABC’s bond?
Juliette [100K]

Question:

Suppose there is a bond in ABC Company that that pays coupons of 8.5%, and suppose that these coupons are paid annually.

Suppose the face value of the ABC bond is $1000 and the maturity is 11 years.

If the appropriate discount rate for this bond is 6%, what would you be willing to pay for ABC’s bond?

Answer:

Price of bond = $ 1197.17

Explanation:

<em>The value of the bond is the present value(PV) of the future cash receipts expected from the bond. The value is equal to present values of interest payment plus the redemption value (RV)</em>.  

Value of Bond = PV of interest + PV of RV  

The price of the bond can be worked out as follows:  

S<em>tep 1  </em>

<em>PV of interest payments </em>

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Total period to maturity (in years) = 11  

PV of interest =  

85 × (1- (1+0.06)^(-11)/)/0.06 = 670.38

<em />

<em>Step 2  </em>

<em>PV of Redemption Value </em>

= 1,000 × (1.06)^(-11) = 526.78

<em>Step 3:</em>

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dentify (by letter) each of the following characteristics as being an advantage, a disadvantage, or not applicable to the corpor
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Answer:

1. Separate legal entity ⇒ ADVANTAGE

This is an advantage because it means that the owners are not liable for the actions of the company. If the company goes bankrupt for instance, they will not have to pay for it with their own finances.

2. Taxable entity resulting in additional taxes ⇒ DISADVANTAGE

Anything that results in corporations having to pay more taxes is disadvantageous from their point of view.

3. Continuous life ⇒ ADVANTAGE

This is an advantage because it makes accounting for the company easier as well as giving investors more stability in their planning.

4. Unlimited liability of owners ⇒ NOT APPICABLE.

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This is a disadvantage because it gives rise to the Agency problem where management might try to act in their own best interests instead of that of the owners.

7. Ability to acquire capital ⇒ ADVANTAGE

Corporations are better able to acquire capital which is good because it means that they will be able to invest and embark on more projects.

8. Ease of transfer of ownership ⇒ ADVANTAGE

Owners of corporations especially the public ones, are able to transfer ownership quite easily to others through the sale of shares.

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