Q21 of 43 Page 15

(v) Three events which are mutually exclusive but not exhaustive.


(i) Let A and B be two events which are mutually exclusive.

Then, A = "getting at least two heads".

B = "getting at least two tails".

(ii) Let A, B and C be three events which are mutually exclusive and exhaustive.

A = "getting at most one head"

B = "getting exactly two heads"

C = "getting exactly three heads"

(iii) Let A and B be two events which are not mutually exclusive.

A = "getting at most two tails"

B = "getting exactly two heads"

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

A = "getting exactly one head'

B = "getting exactly two heads"

(v) Let A, B and C be three events which are mutually exclusive but not exhaustive.

A = "getting exactly one tail"

B = "getting exactly two tails"

C = "getting exactly three tails"

Note: There may be other cases also.

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