Question

Find the chance of throwing head and tail alternately in three successive tossing of coin.

Answer 1

Consider an experiment of throwing a can thrice$,$ the sample space of this experiment can be written as$:$

$S=\left\{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\right\}$

Let $E:$ event of getting head and tail alternatively in three successive trials$.$

so only two case $\left\{HTH,THT\right\}\in E$

$P\left(E\right)=\frac{Numberoffavourablecases}{Totalnumberofcases}$

$=\frac{2}{8}=\frac{1}{4}$ Answer.