A computer’s random number generator produces random integers from 1 to 50. What is the probability that among the first 9 random integers generated, all of them fall in the range from 1 to 35?

For each generated integer, 35 of the 50 possible values are in the range 1 through 35, so the probability is 35/50 = 0.70. The nine results are independent, so the probability that all nine fall in that range is (0.70)^9. This is choice C.

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