Person A is selected if and only if Person B is selected. Is inference of this statement as If person B is there then person A has to be there valid ?

Question

Answer 1

Look at such conditionals in the following way. 2 cases. Case 1, B is selected. Now A may or may not be selected. Case 2, B is not selected, then A is definitely not selected.

Answer 2

Look at such conditionals in the following way. 2 cases. Case 1, B is selected. Now A may or may not be selected. Case 2, B is not selected, then A is definitely not selected.

Answer 3

There is confusion in Mock 18

Answer 4

There is confusion in Mock 18

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Person A is selected if and only if Person B is selected. Is inference of this statement as If person B is there then person A has to be there valid ?