From a cartoon of bulbs, 3 bulbs are drawn randomly. Test each bulb an

1.	From a cartoon of bulbs, 3 bulbs are drawn randomly. Test each bulb and classified into damage (D) and not damage (N). Find the sample space of this test.
Answer» After drawing first bulb two results D of will be After drawing 2nd bulb result = (D,N) × (D,N) = {DD, DN, ND, NN} After drawing 3rd bulb result = (D, N) × {DD, ND, NN} = {DDD, DDN, DND, DNN, NDD, NDN, NND, NNN} Thus sample space S = {DDD, DDN, DND, DNN, NDD, NDN, NND, NNN}

From a cartoon of bulbs, 3 bulbs are drawn randomly. Test each bulb and classified into damage (D) and not damage (N). Find the sample space of this test.

Answer»

After drawing first bulb two results D of will be

After drawing 2nd bulb result

= (D,N) × (D,N)

= {DD, DN, ND, NN}

After drawing 3rd bulb result

= (D, N) × {DD, ND, NN}

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

Thus sample space

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

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From a cartoon of bulbs, 3 bulbs are drawn randomly. Test each bulb and classified into damage (D) and not damage (N). Find the sample space of this test.

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