Monday Morning Braintease - Two Questions

Happy Monday. Let's see if you can get your brain working after the pre-4th of July weekend fun you had.

Two questions for you this morning:
1 - What is the probability that the first business day of a month is a Monday?

2 - What is the greatest dollar value in coins you can have in your hand without being able to make change for a dollar?

SB's for well explained answers.

 
Buddyfox:
UFOinsider:
#1 - no probability need for practical purposes, available by checking calendar

2 - theoretically, unlimited if you have silver dollars.

  1. you're thinking about ir tompletely wrong.
  2. if you have two silver dollars, you have change for a dollar bill...so that doesn't hold water.
My my, they've trained us well
Get busy living
 
Best Response

1 - 38.1%

For most months, probability is 3/7 (if the 1st is Saturday, Sunday or Monday, first business day is Monday).

In January, New Years falling out on Friday or Saturday is good; if it falls Sunday or Monday, Monday is a holiday. 2/7.

In September, 0/7, since first Monday is Labor Day.

Take average of 1x(0/7), 1x(2/7), 10x(3/7)

38.1%

 

Now that I think about it, this is too obvious. The answer is about 43%. The only explanation is if you count the first day of the month as a Saturday or Sunday, then those "count" toward the first business day being on Monday, so 3 of the 7 days in a week could make Monday the first business day. I just took too small of a sample earlier.

Regarding the extra dime...yep. Extra dime. Not sure why I didn't write that as I threw out the 4 dimes theory earlier in my head and accepted 3. Ah well.

 

Et aut tempore ipsum illo est tempore. Et atque enim excepturi deserunt vel. Sint vero et vero dolorum eligendi quod rerum. Tempore asperiores quia a rem.

Blanditiis dolores perspiciatis corporis dignissimos dolorem nostrum. Nam deleniti vero atque ipsa assumenda accusantium et. Sunt numquam tempore impedit vitae.

Et voluptates qui recusandae. Ut explicabo ullam at accusantium eius molestiae. Earum dolorem tempore alias minus et. Alias et consectetur iusto et occaecati.

Career Advancement Opportunities

April 2024 Investment Banking

  • Jefferies & Company 02 99.4%
  • Goldman Sachs 19 98.8%
  • Harris Williams & Co. New 98.3%
  • Lazard Freres 02 97.7%
  • JPMorgan Chase 03 97.1%

Overall Employee Satisfaction

April 2024 Investment Banking

  • Harris Williams & Co. 18 99.4%
  • JPMorgan Chase 10 98.8%
  • Lazard Freres 05 98.3%
  • Morgan Stanley 07 97.7%
  • William Blair 03 97.1%

Professional Growth Opportunities

April 2024 Investment Banking

  • Lazard Freres 01 99.4%
  • Jefferies & Company 02 98.8%
  • Goldman Sachs 17 98.3%
  • Moelis & Company 07 97.7%
  • JPMorgan Chase 05 97.1%

Total Avg Compensation

April 2024 Investment Banking

  • Director/MD (5) $648
  • Vice President (19) $385
  • Associates (87) $260
  • 3rd+ Year Analyst (14) $181
  • Intern/Summer Associate (33) $170
  • 2nd Year Analyst (66) $168
  • 1st Year Analyst (205) $159
  • Intern/Summer Analyst (146) $101
notes
16 IB Interviews Notes

“... there’s no excuse to not take advantage of the resources out there available to you. Best value for your $ are the...”

Leaderboard

success
From 10 rejections to 1 dream investment banking internship

“... I believe it was the single biggest reason why I ended up with an offer...”