A) \[\frac{1}{7}\]
B) \[\frac{1}{8}\]
C) \[\frac{2}{7}\]
D) \[\frac{1}{6}\]
Correct Answer: A
Solution :
Let \[E\] be the event in which all three coins shows tail and \[F\] be the event in which a coin shows tail. \ \[F=\{HHT,\,HTH,\,THH,\,HTT,\,THT,\,TTH,\,TTT\}\] and \[E=\{TTT\}\]. Required probability \[=P(E/F)=\frac{P(E\cap F)}{P(E)}=\frac{1}{7}.\]You need to login to perform this action.
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