Question: The following shows the distribution of a group of elementary school children according to their academic performance and the quality of their nutritional status.

NUTRITIONAL STATUS

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Academics Poor(P) Good(G) Excellent(E)

Low (L) 145 70 65

Medium (M) 60 175 155

High (H) 25 55 250

What is the probability that a child picked at random from this group:

1. Had a low rating on academic performance?.
2. Was rated excellent in terms of their nutritional status?.
3. Had a low academic performance and an excellent nutritional status?.
4. Had low academic performance given that he or she had excellent nutritional status?.
   
5. Had high academic performance or excellent nutritional status?.

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