1.

Consider the experiment of rolling a die. Let A be the event ‘getting a prime number, B be the event ‘getting an odd number’. Write the sets representing the events” (i) ‘A or B’ (ii) ‘A and B’ (iii) ‘not A’ (iv) ‘A but not B’.

Answer»

We have, the sample space of an experiment of rolling a die is S = {1,2,3,4,5,6} 

Here, A = {2,3,5} and B = {1, 3, 5} 

(i) ’A or B’=A ∪ B = {1, 2, 3, 5} 

(ii) ’A and B’=A ∩ B = {3, 5} 

(iii) ’not A’= A’ = S – A = {1, 4, 6} 

(iv) ’A but not B ’= A – B = {2}


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