Question

6 numbers are chosen in order from the numbers 1, 2, ..., 49 a. Find the probability the numbers are drawn in **strictly** increasing order; (i.e., the first < the second < the third) if i. draws are made without replacement ii. draws are made with replacement. b. Assume the draws are made without replacement. Find the probability that the numbers form an arithmetic sequence drawn in any possible order (for example 9,3,6,12,18,15) C.Assume the draws are made with replacement. Find the probability that the numbers drawn are all prime numbers.

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Answer #1

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