Geometric Probability
is a real number such that .Find out the probability that .Give your answer to four decimal places.
The answer is 0.2929.
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1 solution
The point can lie in their interval [-1,1]. However, for a number’s square to be greater than 1/2, it’s square root must be greater than √(1/2). There for the answer is 1 - √(1/2) / 1 = 0.2929.
This can be visualized using One Dimensional Geometric Probability.