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Anna11 [10]
2 years ago
13

A box contains two defective Christmas tree lights that have been inadvertently mixed with eight nondefective lights. If the lig

hts are selected one at a time without replacement and tested until both defective lights are found, what is the probability that both defective lights will be found after exactly three trials? (Round your answer to four decimal places.)
Mathematics
1 answer:
REY [17]2 years ago
6 0
Possibility 1: nondefective-defective-defective
possibility 2: defective-nondefective-defective

possibility 1: 8/10x 2/9 x 1/8 = 16/720=1/45
possibility 2: 2/10 x 8/9 x 1/8= 16/720=1/45

answer: 2/45
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we know that

In an Arithmetic Sequence the difference between one term and the next is a constant

This problem is an Arithmetic Sequence

where

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In general we can write an Arithmetic Sequence as a rule

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therefore

<u>the answer is</u>

11\ tiles


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