Answer:
Set of possible outcomes \[=\{HHH,HHT,HTH,THH,HTT,THT,TTH,TTT\}\]. (i) Let \[{{E}_{1}}\] be the event of getting exactly two heads \[\therefore \] Favourable outcomes \[=\{HHT,HTH,THH\}\] No. of favourable outcomes \[=3\] \[P({{E}_{2}})=\frac{3}{8}\] (ii) Let \[{{E}_{2}}\] be the event of getting at least two heads. \[\therefore \] Favourable outcomes \[=\{HHT,HTO,THH,HHH\}\] No. of favourable outcomes \[=4\] \[P({{E}_{2}})=\frac{4}{8}=\frac{1}{2}\] (iii) Let \[{{E}_{3}}\] be the event of getting at least two tails. \[\therefore \] Favourable outcomes \[=\{HTT,THT,TTH,TTT\}\] \[P({{E}_{3}})=\frac{4}{8}=\frac{1}{2}\]
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