The Blue Gems

There are hundred red gems and hundred blue gems. The blue gems are priceless while the red gems equal wastage. You have two sacks one labeled Heads and the other Tails. You have to distribute the gems as you want in the two sacks. Then a coin will be flipped and you will be asked to pick up a gem randomly from the corresponding sacks.

How will you distribute the gems between the sacks so that the odds of picking a Blue gem are maximum?




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Seven Robbers robbed a bank and hide the coins in a lonely place.
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However, when the 7th robber reached in the morning, they can divide the coins equally.

How many coins were there in total?

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..

..

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