Example, 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
A or B
While rolling a die we can get 1, 2, 3, 4, 5, 6
So, S = {1, 2, 3, 4, 5, 6},
Prime number between 1 to 6 are 2, 3 and 5
So, A = {2, 3, 5}
Odd number between 1 to 6 are 1, 3 and 5
So, B = {1, 3, 5}
A or B
= A ∪ B
= {2, 3, 5, 1} = {1, 2, 3, 5}
Example, 1
(ii) A and B
S = {1, 2, 3, 4, 5, 6} , A = {2, 3, 5} , B = {1, 3, 5}
A and B
= A ∩ B
= {2, 3, 5} ∩ {1, 3, 5}
= {3, 5}
Example, 1
(iii) A but not B
S = {1, 2, 3, 4, 5, 6} , A = {2, 3, 5} , B = {1, 3, 5}
A but not B
= A – B
= {2, 3, 5} – {1, 3, 5}
= {2}
Example, 1
(iv) ‘not A’
S = {1, 2, 3, 4, 5, 6} , A = {2, 3, 5} , B = {1, 3, 5}
not A
= A′
= S – A
= {1, 2, 3, 4, 5, 6} – {2, 3, 5}
= {1, 4, 6}

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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