Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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Three Coins Are Tossed. Describe.(Iv) Two Events A And B Which Are Mutually Exclusive but Not Exhaustive. - Mathematics

Three coins are tossed. Describe.

(iv) two events A and B which are mutually exclusive but not exhaustive.

 
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Solution

When three coins are tossed, the sample space is given by
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

(iv) The two events which are mutually exclusive but not exhaustive are as follows:
       A: getting exactly one head
       B: getting exactly one tail
       i.e. A = {HTT, THT, TTH} and B = {HHT, HTH, THH}
       It is because, A ∩ B = Φ, but A ∪ B ≠ S

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.2 | Q 5.4 | Page 15
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