Class 11 Math Algebra Probability
Three coins are tossed describe
(i) Two events which are mutually exclusive
(ii) Three events which are mutually exclusive and exhaustive
(iii) Two events which are not mutually exclusive
(iv) Two events which are mutually exclusive but not exhaustive
(v) Three events which are mutually exclusive but not exhaustive
Solution: when three coins are tossed the sample space is given by

(i)  Two events that are mutually exclusive can be
getting no heads and getting no tails
This is because sets and are disjoint

(ii)  Three events that are mutually exclusive and exhaustive can be
getting no heads
getting exactly one head
getting at least two heads
This is because
and

(iii) Two events that are not mutually exclusive can be
getting three heads
getting at least heads
This is because

(iv) Two events which are mutually exclusive but not exhaustive can be
getting exactly one head
getting exactly one tail
This is because but

(v) Three events that are mutually exclusive but not exhaustive can be
getting exactly three heads
getting one head and two tails
getting one tail and two heads
This is because but

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determinants
matrices
binomial theorem
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Get answers to your doubts.
determinants
matrices
binomial theorem
complex numbers and quadratic equations
sequences and series