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.

18 Comments
 
1 - no probability need for practical purposes, available by checking calendar 2 - theoretically, unlimited if you have silver dollars.
Get busy living
 
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.
 
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
 
melvvvar
Johnny RingoThe Horse's name is Monday

of all the times for me to run out of SBs.

somebody hook this brotha up.

ahhh thank you sir

Eventus stultorum magister.
 
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 laboriosam et dignissimos ipsam totam. Suscipit eaque aut quaerat sequi. Corporis minus ea rerum doloremque cupiditate id impedit. Reiciendis expedita quia iste quaerat repudiandae voluptatem.

Career Advancement Opportunities

June 2026 Investment Banking

  • Evercore 01 99.4%
  • Moelis & Company 01 98.8%
  • JPMorgan 01 98.2%
  • Guggenheim Partners 01 97.7%
  • Morgan Stanley 07 97.1%

Overall Employee Satisfaction

June 2026 Investment Banking

  • Moelis & Company No 99.4%
  • Morgan Stanley 01 98.8%
  • Evercore 01 98.2%
  • BMO Capital Markets 12 97.6%
  • Banco Santander 01 97.1%

Professional Growth Opportunities

June 2026 Investment Banking

  • Moelis & Company No 99.4%
  • Evercore No 98.8%
  • Morgan Stanley 05 98.2%
  • JPMorgan No 97.7%
  • BMO Capital Markets 12 97.1%

Total Avg Compensation

June 2026 Investment Banking

  • Vice President (14) $434
  • Associates (43) $259
  • 3rd+ Year Analyst (8) $210
  • 2nd Year Analyst (22) $179
  • Intern/Summer Associate (13) $156
  • 1st Year Analyst (75) $151
  • Intern/Summer Analyst (65) $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...”