A junk box in your room contains a dozen old batteires, threeof which are totall

Question

A junk box in your room contains a dozen old batteires, threeof which are totally dead. You start picking batteries on at a time(without replacement) and testing them. The probability that youhave to pick 3 batteries in order to find one that works is a) 0.0409 b)0.0794 c)0.0842 d)0.1061 e)0.1265 The answer is a) but I don't know how to get the answer. I amgetting a different value. Please help with this question! A junk box in your room contains a dozen old batteires, threeof which are totally dead. You start picking batteries on at a time(without replacement) and testing them. The probability that youhave to pick 3 batteries in order to find one that works is a) 0.0409 b)0.0794 c)0.0842 d)0.1061 e)0.1265 The answer is a) but I don't know how to get the answer. I amgetting a different value. Please help with this question!

Explanation / Answer

Please rate this. P(pick the first dead batterie out of 12 )*P(pick the second deadbatterie out of 11)*P(pick a good batterie out of 10)= 3/12* 2/11* 9/10 = 0.0409. Therefore the answer is a)

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