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Cricket Riddle

Cricket Riddle Solution - 24 April

How many runs at maximum can a batsman score in a normal one day match? Consider the fact that the conditions are ideal and there are no No Balls, no Wide Balls and no Extras in that match.

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Solution
Will be updated after 1 day

What Word Am I Thinking Of Riddle

What Word Am I Thinking Of Riddle Solution - 23 April

I am an eleven letter word.
The first, second, third and fourth letter combine to form a bank’s name.
The fifth, sixth and seventh letter combine to form a car’s name.
The eighth, ninth, tenth and eleventh letter combine to form a mode of transport.

Can you identify what word am I?

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Solution
CITIZENSHIP

Hard Conditional Probability Problem

Hard Conditional Probability Problem Solution - 22 April

Four friends - Anna, Brian, Christy and Drake are asked to choose any number between 1 and 5.

Can you calculate the probability that any of them chose the same number ?

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Solution
Let us take this one step at a time.

Let us calculate the probability that Anna and Brian have the same number in their mind.
101/125

Now, there's a 1/5 chance that the numbers will be same and 4/5 chance that the numbers are different.

Let us now include Christy in this data. There can be two cases.
1) Anna and Brian have the same number. In that case, Christy will have only one number to compare.
2) Anna and Brian did not have the same number. In that case, Christy will have two numbers to compare to.

For the first case, the probability will be 5/25. This is if Anna and Brian did have the same numbers.

But if Anna and Brian did not have the same numbers, there is a 2/5 probability that Christy is having the same number (this is because Christy gets to match her number with both Anna and Brian). In that case, we can simply multiply the probabilities.
4/5 * 2/5 = 8/25

Otherwise, if Christy is not having the same number, the probability is 3/5. Now multiplying with the previous chain:
4/5 * 3/5 = 12/25

Now, we can include Drake in our calculations. If we follow the path where Drake's number matches with Anna and Brian, the probability will be 25/125.

Now let us join that with Christy's probability. If Christy's number matches with Anna and Brian and Drakes' number also matches, then the probability will be:
4/5 * 2/5 = 40/125

If Christy's number does not match with Anna and Brian but Drake's number matches with Christy's, the probability will be:
4/5 * 3/5 * 3/5 = 36/125

But if Christy's number does not matches with Anna and Brian and even Drake's does not matches with Christy, then the probability will be:
4/5 * 3/5 * 2/5 = 24/125

Now, we have to tell the probability when all the four friends have same numbers, so we will just add up the probability where all the numbers matches:

25/125 + 40/125 + 36/125 = 101/125.

Hardest Probability Problem

Hardest Probability Problem Solution - 21 April

If you keep rolling a pair of dice together till a sum of 5 or 7 is obtained, then what is the probability that a sum of 5 comes before a sum of 7?

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Solution
2/5

This can be solved in a generic and complex way but let us not go into all that.

There can be four ways through which the pair of dice results in a sum of 5. There can be six ways through which the pair of dice can result in a sum of 7.

Now, we want the probability of the pair of dice resulting in a sum of 5 before a sum of 7. Thus probability = 4/(4+6) = 4/10 or 2/5.

Science Riddle For High School

Science Riddle For High School Solution - 20 April

There is a boat with a brick of gold and a brick of iron. Both the blocks are exactly 10 inch in size. If they are dropped into the surrounding water of river.

Which one of the blocks will make the water level higher?

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Solution
The iron block will make the water level higher.

In actual terms, none of the block will make the water level higher. This is because, while in the boat, they have a larger effect on the water level and they are raising it. But, when they are dropped in the water, they will actually make the water level drop. But, the iron block will make the water level drop much less than the gold block because it is lighter and will have less effect on the water from the boat but will displace the same amount of water as the gold one when dropped into the water.
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