Bags of Marbles Puzzle

You have three bags, each containing two marbles. Bag A contains two white marbles, Bag B contains two black marbles, and Bag C contains one white marble and one black marble.

You pick a random bag and take out one marble. 

It is a white marble.

What is the probability that the remaining marble from the same bag is also white?

Apples and Friends Puzzle

You have a basket containing ten apples. You have ten friends, who each desire an apple. You give each of your friends one apple.

Now all your friends have one apple each, yet there is an apple remaining in the basket.

Five pirates

Puzzle 1:
5 pirates of different ages have a treasure of 100 gold coins. 

On their ship, they decide to split the coins using this scheme: 

The oldest pirate proposes how to share the coins, and ALL pirates (including the oldest) vote for or against it. 

If 50% or more of the pirates vote for it, then the coins will be shared that way. Otherwise, the pirate proposing the scheme will be thrown overboard, and the process is repeated with the pirates that remain.

As pirates tend to be a bloodthirsty bunch, if a pirate would get the same number of coins if he voted for or against a proposal, he will vote against so that the pirate who proposed the plan will be thrown overboard.

Assuming that all 5 pirates are intelligent, rational, greedy, and do not wish to die, (and are rather good at math for pirates) what will happen?

I welcome all the students to my blog. I hope information shared on this blog are useful to you. Please let me know your suggestion by your valuable comments.