Can someone provide a clear step-by-step solution to this question: Eagle Comput

Question

Can someone provide a clear step-by-step solution to this question:

Eagle Computers manufactures portable disk drives. Eagle knows that a shimpment of 30 disk drives sent to a large discout store contains eight defective drives. Eagle also knows that the store will choose two of the drives at random, test them, and accept the shipment if both drives are not defective. What is the probability that the shipment is accepted?

I was thinking about using the multiplicative rule. Would this be the most concise process to use?

Explanation / Answer

N=30

Defective= 8

Non defective = 22

Probability of non defective first random selection= 22/ 30

Probability of non defective second random selection= 21/29

P(R1,R2) =P(R1)*P(R2| R1)

probability of random two non defective selection= 22/30* 21/29 = 0.73333*0.724138 =0.531

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