What is the probability of solving 500 random questions correctly?

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In summary, the probability of solving 500 randomly chosen questions correctly is 0.3054936364 * 10^-148 percent. This can be calculated by taking the number of possible combinations (2^500) and converting it to scientific notation, resulting in 10^150.5149978. Therefore, the probability is 1 divided by this number, which equals 0.3054936364 * 10^-148 percent.
  • #1
ahmedhassan72
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Solve my simple riddle!

If you have 500 questions (put right or wrong questions) and you will solve them all randomly as you don't know the answer so what is your probability to solve them all right?
express answer as e.g 1.5*10^-2
 
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  • #2
This seems more like homework than a riddle...
 
  • #3
If you have 500 questions (put right or wrong questions) and you will solve them all randomly as you don't know the answer so what is your probability to solve them all right?
express answer as e.g 1.5*10^-2
( don't think to try combinations one by one)
You can easily solve that 2 right or wrong questions have 2 answer probabilities, 3 right or wrong or wrong questions have 8 answer probabilities , and so on... so the number of combinations which you can get =number of one question probabilities ^number of questions
so 500 questions combinations = 2^500 ( can't be solved by most calculators)
so let 2^500 =x
so log 2^500 = log x
so 500log 2 =log x
so x=10^(500log2)
=10^150.5149978
=10^150 * 10^5149978
=3.273390608 * 10^150
probability of solving them all right = 1/(3.273390608* 10^150) *100 =
=======0.3054936364 * 10 ^-148 percent
( i imagined of that problem and i solved it so it may be wrong)
 
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  • #4
Yes, its correct.
 

What is a riddle?

A riddle is a type of puzzle or question that is designed to test a person's intelligence or creativity. It often involves wordplay or a play on words to make it more challenging to solve.

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A simple riddle is one that is relatively easy to solve, usually with a straightforward answer. It may also have fewer clues or hints compared to more complex riddles.

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