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.
1 - no probability need for practical purposes, available by checking calendar
2 - theoretically, unlimited if you have silver dollars.
20% = (business days are not Saturday or Sunday for most non-banking people), so the first business day being a Monday has a chance of 1 in 5 or 20%.
$1.09 = 3x $.25, 3x $.10, 4x $.01
Can't you add another dime?
2:
$1.19
3x quarters; 4x dimes; 0x nickels; 4x pennies
GS Tackle, good job +1
Kheric - think again.
I am surprised no one has got #1 correct. Pretty easy math. When you see the answer you'll kick yourself.
9 dimes 1 quarter 4 pennies
--> $1.19
The 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
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%
1) 3/7
2) no answer. Take 3 quarters, and you can add as many dimes as you want without making a dollar.
Never mind, my second answer is definitely wrong.
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.
1) 3 / 7 (Saturday, Sunday, Monday) 2) $1.19 (3 quarters, 4 dimes, 4 pennies)
3/7.... Monday, Saturday and Sunday all basically equal a Monday...
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