probability cannot be dtermined
a is chosen as a random natural number. what is the probability that (x-1)(x-10)(x-a) has no repeated roots?
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5 Answers
Pritish Chakraborty
·2010-05-27 19:45:45
No repeated roots as in....a cannot be 1 or 10, isn't it?
There are n natural numbers. Probability that a is 1 or 10
= P(1 or 10)
= P(1) + P(10)
= 1/n + 1/n
= 2/n
So probability that a is not 1 or 10 is given by
P(Not 1 or 10)
= n - 2n