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Probability Questions And Answers #1 - Analytical Maths Girl Child Probability Brain Teaser

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In Chelsea square, there are two mansions M1 and M2. Both M1 and M2 have two children each.

In Mansion M1, The boy plays for Chelsea youth academy and the other child play table tennis.
In Mansion M2, The boy recently joined the school and they just had a newborn in the home

Can you prove that probability of M1 having girl child is more than that of M2?

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Probability Questions And Answers #2 - The Lottery Puzzle

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Let's say in a lottery Samuel have a 4% chance of winning the jackpot.
All lined up and 1st four people on the line lose. Samuel is 5th in the row.
What's the chance of Samuel winning now?

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Probability Questions And Answers #3 - Probability To Choose Own Toy Brain Teaser

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I bought three toys for my triplet boys (one for each). I placed the toys in the dark store. One by one each boy went to the store and pick the toy. What is the probability that no boy will choose his own toy?

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Probability Questions And Answers #4 - Card permutations probability Puzzle

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Alex is shuffling a pack of cards (54 cards in total) and after some time, he takes out a joker card.

Now, he splits the remaining cards into two piles. Can you find out the probability where one of the piles has a sequence of card from A to K in order?

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Probability Questions And Answers #5 - Dice Probability Puzzle

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A dice is thrown twice without any bias. What is the probability that the sum of numbers the thrower got in those two throws is equal to 6

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Probability Questions And Answers #6 - Dice Game Probability Problem

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Two women play a dice game where two standard dice are rolled. Woman A says that a 11 will be rolled first. Woman B says that two consecutive 8s will be rolled first. The women keep rolling until one of them wins.

What is the probability that A will win ?

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Probability Questions And Answers #7 - The Great War: India v/s Pakistan v/s SriLanka

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Pakistan, India and Srilanka are engaged in a missile war, such that they fire one after the other, in a sequence, the sequence selected by draw of lots. The rules of war are such that the 3 countries keep on shooting at each other until they hit with the missile. This goes on until there is one last country left unhit, and then the war ends. The chances that Pakistan hits its target is 100%, Srilanka hits the target is 80% and India hits the target is 50%.
Who has the highest chance of winning the war?

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Probability Questions And Answers #8 - Archery and the bull's eye

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William is blindfolded and is playing archery. Unfortunately, when he shoots the first shot, he misses the bull's eye. When he shoots the second shot, the arrow goes even farther and he misses it. William again shoots the third arrow.
Question: how greater is the chance for making his last shot also worse than the previous and the first one?

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Probability Questions And Answers #9 - Survival Maths Probability Brain Teaser

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You have succeeded in going to the top of a brainvita (a contest with prizes). Your final task lays ahead of you.
There are 100 table tennis balls and 2 empty bowls in front of you. Out of the 100 balls, 50 are white and 50 are yellow in color. Now, you are asked to fill the bowls in any manner you like (using all the balls).
After you are done, you will be blindfolded and the bowls will be shuffled. Then, you will be asked to pick up a ball from any bowl. If the ball you pick up is yellow, you will win the grand prize and if you pick up the white ball, you will not win anything.

How will you increase your chances of winning?

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Probability Questions And Answers #10 - Russian Roulette Brain Teaser

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You and your friend are playing Russian Roulette. Of course, the gun is filled with fake pellets. Three bullets are placed inside three consecutive chambers. The cylinder is then spun once. It won't be spun again.

As per the rules, the gun will be passed from one person to other until a pellet is shot. If you want to win this game, would you go first or second ?

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