Random real numbers uniformly distributed over the interval from 0 to 1. What is the probability that the product of two numbers from a random number is larger than 1/2?
[Math] probability for the product of two random numbers (within 0 to 1) is larger than 1/2
probability
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Best Answer
HINT: In effect you’re choosing a random point $\langle x,y\rangle\in[0,1]\times[0,1]$, where the distribution is uniform. The graph of the function $xy=\frac12$ divides the unit square $[0,1]\times[0,1]$ into two parts in a relevant way.