Biden's age, and with mostly forgotten smattering of Math knowledge, just having fun and trying to keep my grey cells firing !

"If you can't explain it simply, you don't understand it well enough"
$-$ Albert Einstein

The fun lies in walking the path less trodden.

Some examples

• Conditional cIrcuit problem

• Probability a sequence of $10$ dice rolls is non-decreasing?

• There are two multisets of circles and squares. Probabilty of pulling a circle from second multiset after two transfers between the two sets

• Probability of meeting your friend on a tournament. Getting a non natural answer for combinatorics question

• Probability of creating two same groups

• Does knowing that you drew at least $1$ ace increase the probability that you drew at least $2$ aces ($5$ card hand)?

• Arrangements of 10 red balls, 5 green balls and 5 blue balls where there can't be two adjacent balls of the same color

• Probability that 4 socks selected at random from 4 pairs will form 2 pairs