Question

Three coins are tossed once Find the probability of getting (i) heads  (ii) heads   (iii) at least heads   (iv) at most heads  (v) no head  (vi) tails   (vii) exactly two tails  (viii) no tail  (ix) at most two tails

Medium

Solution

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When three coins are tossed once the sample space is given by

Accordingly
It is known that the probability of an event is given by 

(i) Let be the event of the occurrence of heads Accordingly

(ii) Let be the event of the occurrence of heads Accordingly

(iii) Let be the event of the occurrence of at least heads
Accordingly

(iv) Let be the event of the occurrence of at most heads
Accordingly

(v) Let be the event of the occurrence of no head
Accordingly

(vi) Let be the event of the occurrence of tails
Accordingly

(vii) Let be the event of the occurrence of exactly tails
Accordingly

(viii) Let be the event of the occurrence of no tail
Accordingly

(ix) Let be the event of the occurrence of at most tails
Accordingly

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