Suppose 3 bulbs are selected at random from a lot. Each bulb is tested and classified as defective (D) or non-defective (N). Write the sample space of this experiment?

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Solution

It is given that each bulb in the lot is tested and classified as defective and non-defective.

Consider D represents the defective bulb and N represents the non-defective bulb.

The possible outcomes of choosing a bulb from the lot are defective or non-defective.

When 3 bulbs are chosen, the number of outcomes is 2 3 =8

Thus, the sample space of choosing 3 bulbs randomly from a lot is,

S={ DDD,DND,DDN,DNN,NDD,NDN,NND,NNN } .

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