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natita [175]
3 years ago
13

A card from a 52 card deck is lost. We then draw 2 cards from the 51 remaining cards. What is the probability they are both diam

onds?
Business
1 answer:
Nonamiya [84]3 years ago
3 0

Answer:

\frac{1}{17}

Explanation:

Let D be the event that the lost card is a diamond

and D' be the event that the lost card is a non diamond

Therefore,

P(D) = \frac{13}{52} = 0.25

P(D') = \frac{39}{52} = 0.75

Now,

Event that the cards picked up are both diamonds = A

Thus,

P( A | D) = \frac{12}{51 }\times\frac{11}{50}               [ As One Diamond Card is lost ]

And,

P(A | D') = \frac{13}{51}\times\frac{12}{50}                [ As One Non-Diamond card is lost ]

Therefore,

P(A) = P(D) × P(A | D) + P(D') × P( A | D')  

= 0.25 × \frac{12}{51 }\times\frac{11}{50}  + 0.75 ×  \frac{13}{51}\times\frac{12}{50}

= \frac{1}{17}

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When my supervisor presents me with multiple situations to see if I know when to implement a certain skill, (s)he clearly does not trust me to know what I am doing. The above statement is false.

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Question:

When my supervisor presents me with multiple situations to see if I know when to implement a certain skill, (s)he clearly does not trust me to know what I am doing. State whether the statement is true or false.

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2 years ago
In basing a credit decision on the applicant's income, the credit extender must consider alimony, child support, and maintenance
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Explanation:

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3 0
2 years ago
A company had credit sales of $ 35 comma 000 and cash sales of $ 25 comma 000 during the month of May. Also during​ May, the com
Likurg_2 [28]

Answer:

The​ company's net income for the​ month was $27 comma 000

Explanation:

Net income = Total Sales - total expense

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Total Sales = credit sales + cash sales = $35,000 + $25,000 = $60,000

The company paid wages of $ 24 comma 000, the wages expense was $ 24 comma 000.

The company paid utilities of $ 9 comma 000, the utilities expense was $ 9 comma 000

Total expense = wages expense + utilities expense = $24,000 + $9,000 = $33,000

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7 0
3 years ago
Companies HD and LD are both profitable, and they have the same total assets (TA), total invested capital, sales (S), return on
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Answer:

Option D is correct.

Explanation:

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Option C is also incorrect because there is no difference between the sales and total assets of both companies.

Option D is correct because the return on equity of the company LD is higher as the Net profit which is profit after interest and tax is higher than the profit after interest and tax of the company HD.

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Remember that the operating profit is earnings before interest and tax.

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