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1) A2) B3) BA 4) 2. A Relation R on a Set A is called a partial order, if (A, R) is1) Reflexive relation2) Symmetric relation3) Reflexive, Anti-Symmetric and Transitive relation4) Reflexive, Symmetric and Transitive relation3. If A and B are two independent events such that P(A) =0.5 and   8.0 BAP thenP(B) is1) 0.62) 0.53) 0.84) 0.054. A Context – free grammar G is ambiguous if there is some string w belongs to L(G)that has two distinct1) Graph only2) Parse trees3) Grammars4) Ordered

Question

  1. A2) B3) BA 4) 2. A Relation R on a Set A is called a partial order, if (A, R) is1) Reflexive relation2) Symmetric relation3) Reflexive, Anti-Symmetric and Transitive relation4) Reflexive, Symmetric and Transitive relation3. If A and B are two independent events such that P(A) =0.5 and   8.0 BAP thenP(B) is1) 0.62) 0.53) 0.84) 0.054. A Context – free grammar G is ambiguous if there is some string w belongs to L(G)that has two distinct1) Graph only2) Parse trees3) Grammars4) Ordered
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Solution

The text you provided seems to be a set of multiple choice questions from a computer science or mathematics exam. Here are the answers:

  1. A relation R on a set A is called a partial order if (A, R) is a Reflexive, Anti-Symmetric and Transitive relation. So, the answer is 3) Reflexive, Anti-Symmetric and Transitive relation.

  2. If A and B are two independent events such that P(A) =0.5 and P(A U B) = 0.8, then P(B) can be calculated using the formula P(A U B) = P(A) + P(B) - P(A ∩ B). Since A and B are independent, P(A ∩ B) = P(A)P(B). Substituting the given values, we get 0.8 = 0.5 + P(B) - 0.5*P(B). Solving this equation gives P(B) = 0.6. However, this option is not available in the choices given. There might be a mistake in the question or the options provided.

  3. A Context – free grammar G is ambiguous if there is some string w belongs to L(G) that has two distinct parse trees. So, the answer is 2) Parse trees.

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