Mathematic Probability and Statistics

Job ID: 30707510

Budget: $2 – $3 USD

Hi!

Please do some math for me:
A lottery box contains 24 pieces of paper:
- 12 papers have the names of the 12 tribes.
- and 12 papers have the names of 12 regions in the Land of Israel.

Question:
part 1:
What is the mathematic probability - that when I will say "Reuben will be picked, with the region of Jerusalem" - and then I put my hand in the lottery box, select 2 random pieces of paper - and low and behold - the first paper is the paper with the name Reuben, and the 2nd paper is the region of Jerusalem.

part 2: Furthermore, I continue and say: "Zebulun will be picked, with the region of Hebron" - and same as above, I put my hand in the lottery box, select 2 random pieces of paper - and the first paper is Zebulun, and the 2nd paper is Jerusalem.

NOTE: The probability that the 2nd part happens after the 1st part also needs to be calculated; meaning - how probable is it that - after picking correctly the 1st 2 papers, then the 2nd 2 papers are ALSO picked correctly.

part 3: Next - "Levi will be picked, with the region of Beer Sheba" - what is the probability that 3 times in a row - the 2 papers were picked correctly?

part 4: keep doing the same math - adding to the difficulty of the probability every time. Do this for all 12 tribes.