...ah...a classic "simple-sounding" math problem that is still unsolved is a proof of Goldbach's Conjecture (every even whole number > 2 = sum of 2 primes)
The probability that the first number would be greater than 3/4 (guaranteed fail) is 1/4, so there is a 3/4 chance the second number CAN be 1/4 higher than the first.
Similarly, the probability that the second number is at least 1/4 is 3/4.
Then, the probability that both work is 9/16.
After that, the first number will be, on average, 1/4 lower than the second, so there is a 1/2 chance of it being 1/4 lower or more. (1/2)*(9/16)=9/32.
...ah...a classic "simple-sounding" math problem that is still unsolved is a proof of Goldbach's Conjecture (every even whole number > 2 = sum of 2 primes)
jwm239 1 month ago
I did this a different way...
The probability that the first number would be greater than 3/4 (guaranteed fail) is 1/4, so there is a 3/4 chance the second number CAN be 1/4 higher than the first.
Similarly, the probability that the second number is at least 1/4 is 3/4.
Then, the probability that both work is 9/16.
After that, the first number will be, on average, 1/4 lower than the second, so there is a 1/2 chance of it being 1/4 lower or more. (1/2)*(9/16)=9/32.
HulloZeebaNeighba 10 months ago
i got this right on the test but i forgot what i did
MAGNUMandBARRETTA 11 months ago
Thank you for making these videos! They are vvery helpful!
snakefan8 1 year ago