A bag contains thirty marbles numbered from 1 to 30. Five marbles are drawn at r

Question

A bag contains thirty marbles numbered from 1 to 30. Five marbles are drawn at random from the bag. There are a few ways to think about this: a. Marbles are drawn one at a time without replacement. That is, once a marble is drawn, it is not replaced in the bag. b. Marbles are drawn all at once without replacement. That is, ve marbles are snatched up at once. c. Marbles are drawn one at a time with replacement. Once a marble is drawn, it is tossed back into the bag. Then the next marble is drawn, tossed back in, and so on.!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! FOR EACH of these interpretations: (i) FOR EACH Describe the sample space. How large is the set? (ii) FOR EACH What is the probability that the marbles numbered 1 and 2 are not among those drawn from the bag? (iii) FOR EACH What is the probability that at least one of the marbles numbered 16; 17; 18 are among the marbles drawn from the bag?

Explanation / Answer

total marbles are 30 numbered from 1to 30 .in this 5 marbles can be drawn so the sample space is 30c5=142506

a)marbles are drawn one at a time without replacement so 30c1*29c1*28c1*27c1*26c1=17100720

probability is 142506/17100720=0.0083

b)drawn all at once without replacement means that 30c5

probality is 1

c)one at atime with replacement means that no of posibilities are 5*30c1=150

probability is 150/17100720=

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