Set S consists of numbers 2, 3, 6, 48, and 164. Number K is computed by multiplying one random number from set S by one of the first 10 non-negative integers, also selected at random. If Z=6^K, what is the probability that 678,463 is not a multiple of Z?
Pick:
A) 10%  B) 25%  C) 50%  D) 90%  E) 100%
Probability of any random number being picked from set S = 1   Probability of kk not being 0 = 9/10 ( as there are total of 10 ways to pick up k and 9 ways for k not being 0)   Since it's an AND event , we will multiply the probabilities of both the events.   Hence total probability = 1∗9/10=90%. Answer:90%
<result>D</result>
Set S consists of numbers 2, 3, 6, 48, and 164. Number K is computed by multiplying one random number from set S by one of the first 10 non-negative integers, also selected at random. If Z=6^K, what is the probability that 678,463 is not a multiple of Z?