A manufacturer has shipped 40 cameras to an electronics store, of which 4 are defective. If the electronics store sold 26 cameras before discovering that some were defective, what is the probability that at least one defective camera was sold?
P[ camera is defective ] = 4/40
P[ camera is defective ] = 0.1
Camera sold = 26
We need to find P[ at least one defective was sold ]
P[ at least one defective was sold ] = 1 - P[ zero defective was sold ]
P[ zero defective was sold ] =
P[ zero defective was sold ] =
P[ zero defective was sold ] = 0.6445
P[ at least one defective was sold ] = 1 - 0.6445
P[ at least one defective was sold ] = 0.3555
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