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Probability Resources

if we have stream of bits (0s and 1s) arriving statistically independent of each other. with probability p, an arriving bit is 1. what is the probability that the largest bucket is of size 2^n. Hint...

We choose at random 3 numbers a,b,c from {0,1,2,3} and consider the points A(1,a), B(2,b), C(3,c) What is the probability that A,B and C are on the same line? The area of Triangle ABC...

There were balloons of two different colours(red and violet). If one balloon is sold, he inflates two balloons of the other colour. Suppose he has 'x' red balloons and 'y' violet. From that...