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
scoray [572]
3 years ago
10

) Suppose I ask you to pick any four cards at random from a deck of 52, without replacement, and bet that if at least one of the

four is a face card (i.e., Jack, Queen, or King), you pay me one dollar; otherwise I pay you one dollar. Should you take the bet? Why? (Hint: See how the probability of this event compares to 50%. If this is too hard, try it with replacement first.) (b) What if the bet involves picking three cards at random instead of four? Should you take the bet then? Why?
Business
1 answer:
Trava [24]3 years ago
5 0

Answer & Explanation:

a) Total ways to select 4 cards out of 52

= 52 C 4 = 270725

Total ways to select 4 cards out of 40 other (faceless) cards

= 40 C 4 = 91390

P( faceless cards ) = 91390 / 270725

= 0.3376

P( minimum 1 face ) = 1 - P( faceless cards )

= 1 - 0.3376

= 0.6624

You should take the bet because probability of winning is greater than 50%.

b) Total ways to select 3 cards out of 52

= 52 C 3 = 22100

Total ways to select 4 cards out of 40 other (faceless) cards

= 40 C 3 = 9880

P( faceless cards ) = 9880 / 22100

= 0.4471

P( minimum 1 face ) = 1 - P( faceless cards )

= 1 - 0.4471

= 0.5529

You should take the bet because probability of winning is greater than 50%.

You might be interested in
The funded status of Hilton Paneling Inc.'s defined benefit pension plan and the balances in prior service cost and the net gain
krok68 [10]

Answer:

1. Actual return on Plat assets

= Ending plan assets - beginning assets - employer contribution + retirees payment

= 2,591 - 2,400 - 245 + 270

= $216,000

2. Gain(loss) on plan assets

= Actual return - expected return

= 216,000 - (10% * 2,400,000-beginning assets)

= ($24,000) loss

3. Service cost

= Ending Projected benefit obligation - Beginning Projected benefit obligation - Interest cost + Retiree benefits

= 2,501 - 2,300 - (7% * 2,300) + 264

= $304,000

4. Pension expense

= Interest cost + expected return + Amortization of prior service cost + amortization of net gain + Service cost

= Interest cost + expected return + (beginning prior service cost - ending prior cost) + (Beginning net gain - ending net gain - loss on plan asset)  + Service cost

= (7% * 2,300)  + 240 + (325 - 300) + (330 - 300 - 24) + 304

= $736,000

5. Average remaining service life of active employees

= (Beginning Net gain - expected return) / Amortization of net gain

= (330 - 300) / (330 - 300 - 24)

= 5 years

4 0
3 years ago
g Profit margins tend to peak during the growth stage of the Product Life Cycle. This is due to ___________________.this being t
DIA [1.3K]

Answer:

Declining unit manufacturing costs while prices can remain high.

Explanation:

A product life cycle can be defined as the stages or phases that a particular product passes through, from the period it was introduced into the market to the period when it is eventually removed from the market.

Generally, there are four (4) stages in the product-life cycle;

1. Introduction.

2. Growth.

3. Maturity.

4. Decline.

Generally, the growth stage is the stage where the product gains acceptance from the consumer and there is a significant increase in demand and sales.

Profit margins tend to peak during the growth stage of the Product Life Cycle. This is due to declining unit manufacturing costs while prices can remain high because the product has been accepted in the market and its unit cost of production is lesser i.e they are manufactured in bulk.

5 0
3 years ago
2. Fargo Corporation distributes property (basis of $260,000 and fair market value of $310,000) to a shareholder. Fargo Corporat
earnstyle [38]

Answer:

The distribution by Fargo corporations has the following tax consequences

  • The corporation has distributed an appreciated property( that on its own makes it liable for tax)
  • The corporation must recognize the gains or losses made on the distribution as if the corporation was selling the property to the shareholder.
  • Apply capital gains tax on the gains or losses
  • capital gain = $310000-$260000 =$50000
  • Apply any annual exclusion and multiply by the Capital Gains Tax to arrive at Taxable Capital Gain to be included in incomes

The shareholder will recognize dividend received in the market value and will be subject to exemptions if applicable.

Explanation:

8 0
3 years ago
Which of the following is not a positive of having a large trade​ deficit? A. A large trade deficit can signal the positive expe
krok68 [10]
The answer for this one is B
3 0
3 years ago
List three disadvantages to sole proprietorships.
pochemuha
<span>unlimited liability is one of the main ones, It is difficult to find outside investors and you are liable for all of your own debts</span>
7 0
4 years ago
Other questions:
  • Special interest group Q receives a 1/10,000th slice of the economic pie. Its net benefit from either an economic growth policy
    6·1 answer
  • Worker Corporation allocates its single support department to its operating departments based on the single rate method using ma
    15·1 answer
  • A __________ refers to the preservation of natural areas through funding provided by an agreement in which a wealthy nation forg
    9·1 answer
  • A firm reports the following data:________.
    6·1 answer
  • On October 31, the end of the first month of operations, Maryville Equipment Company prepared the following income statement, ba
    11·1 answer
  • Neon Electronics Inc. sourced touch screens required for its tablet computers, cell phones, and televisions from a manufacturer
    10·1 answer
  • Amy, the chief operations officer of a company that manufactures baby products, formulates a plan on how the company's newly lau
    8·1 answer
  • Which of the following is not included in the typical pattern of behavior for a poverty-stricken person?
    15·1 answer
  • Renata's US-based lifestyle company decides to invest in a company based in France that specializes in health and wellness. This
    5·1 answer
  • If 1-year interest rates for the next three years, starting with this year, are expected to be 1, 1, and 1 percent, and the 2-ye
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!