Probability Puzzles
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Ring City has 100 houses arranged in a circle. Alice starts at her own house, and every day she randomly moves to one of the two adjacent houses, each with 50% probability.She repeats this until she has visited all of the houses.
Which house(s) is/are the most likely to be visited last?
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What is the least number of Candidates needed to appear in a examination of 300 marks, such that there is greater than a 50% chance that at least two of the candidates will have same marks?
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Andrew is shuffling a pack of 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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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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There is a ice cream box containing ice creams that can be either mango flavored or chocolate flavored. You know the fact that there is at least one mango flavored ice cream in that box. Your eyes are then closed and you pick two ice creams at random.
You are provided with the fact that at least one of them will be chocolate flavored ice cream.
Can you now find out how many chocolate ice creams are there in that box?
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James is having 2 dices.
Dice 1- is a normal dice numbered 1 to 6.
Dice 2- is also having 6 faces but with no numbers written on them .
He needs to mark numbers on that 2nd dice so that after throwing both dices simultaneously , all the numbers from 1 to 12 will have equal probability to occur.How can he do it? and what will be the probability?
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In your bedroom, you have a drawer with 2 red, 4 yellow, 6 purple, 8 brown, 10 white, 12 green, 14 black, 16 blue, 18 grey and 20 orange socks. It is dark in your bedroom, so you cannot distinguish between the colors of the socks.
How many socks do you need to take out of the drawer to be sure that you have at least three pairs of socks of the same color?
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In Taj Square there are two houses – House A and House B.
In both A and B, lives a family with two children each.
The House A has a family with a boy who loves to play football. Their other child likes to swim.
The House B has a family with a six year old boy who loves to read and they have just had a new baby.You are asked:
Which of the given house is likely to have a girl child?
What will your probable answer?
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