SOLUTION: A computer prints out three digits chosen at random from 0 to 9, inclusive. Find the probability that: a) All three digits are different. b) The third digit differs from the firs

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Question 369923: A computer prints out three digits chosen at random from 0 to 9, inclusive. Find the probability that:
a) All three digits are different.
b) The third digit differs from the first two digits.
Thank yoy very much for your answer!

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
a) 10/10 * 9/10 * 8/10 = 720/1000 = 18/25
.
b)
((8/10 * 9) + 9/10)/10 Because of a 1/10 chance both of the first 2 digits are the same.
= (72/10 + 9/10)/10
= 81/100
.
Ed