SOLUTION: in a shipment of 25 micromave ovens , 2 are defective if two ovens are randomly selected and tested find the probability that both are defective if the first one is not replaced af

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Question 1131974: in a shipment of 25 micromave ovens , 2 are defective if two ovens are randomly selected and tested find the probability that both are defective if the first one is not replaced after it has been tested
Found 2 solutions by rothauserc, ikleyn:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Probability that 2 selected ovens, without replacement, are defective = 2/25 * 1/24 = 2/600 = 1/300 = 0.0033
:
take this a step further
:
the two probability events are dependent, that is, the probability of the second event is dependent on the first event because the experiment does not allow replacement after a selection
:
the two probabilities are multiplied because we are looking for the intersection of the two events, that is, both occurring
:

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
%282%2F25%29%2A%281%2F24%29 = 1%2F300.

The formula is self-explanatory.