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There are 12 AAA batteries in a box and 2 are defective. Two batteries are selected...

There are 12 AAA batteries in a box and 2 are defective. Two batteries are selected without replacement. What is the probability of selecting a defective battery followed by another defective battery? Please put your answer in decimal form, with 2 decimal places

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Answer #1

Probability of first event i,e selecting a defected battery.

Sample space is 12 and probability interest is 2

SO probability is 2/12 = 0.167

Now probability of second event

sample space is 11, as one battery is already drawn in event 1.

probability interest is 1 as one defective battery is already drawn out of 2.

SO probability of second event is

1/11 = 0.091

Total probability of selecting a defective battery followed by another defective battery = 0.167 0.091 = 0.015 0.02

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