A box contains 12 items, 4 of which are defective. An item is chosen at random and not replaced.

A box contains 12 items, 4 of which are defective. An item is chosen at random and not replaced. This is continued until all four defec- tive items have been selected. The total number of items selected is recorded.

Expert Solution

Sample space of an experiment is the set of all possible outcomes of an experiment.

In the given questions, there are total 12 items, out of which 4 are defective. We have to keep choosing item one by one until all the 4 defective items are out. So, minimum number of 4 trials need to be performed to get the 4 defective items. In the worst case, we have to scan all the 12 items to find the 4 defective ones.

So associated sample space for this experiment will be:

{4,5,6,7,8,9,10,11,12}

venereology answered 2 years ago

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