Ex 16.2, 5
Three coins are tossed. Describe
(iv) Two events which are mutually exclusive but not exhaustive.
Two events which are mutually exclusive but not exhaustive
Let A be the event getting only Head
A = {HHH}
Let B be the event getting only tail
B = {TTT}
A ∩ B = {HHH} ∩ {TTT}
= 𝜙
Since no element is common in A & B
Hence A & B are mutually exclusive
But
A ∪ B = {HHH} ∪ {TTT}
= {(HHH), (TTT)}
≠ S
Since A ∪ B ≠ S
They are not exhaustive events

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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