A) \[\frac{1}{3}\]
B) \[\frac{2}{3}\]
C) \[\frac{2}{5}\]
D) \[\frac{4}{15}\]
Correct Answer: A
Solution :
(a): Here sample space is given as, \[S=\{HH,HT,T1,T2,T3,T4,T5,T6\}\]Let a be the event that the die shows a number greater than 4 and B be the event that the first throw of the coin results in a tail then, \[A=\{T5,T6\}\] \[B=\{T1,T2,T3,T4,T5,T6\}\] \[\therefore \] Required probability \[\Rightarrow \] \[P\left( \frac{A}{B} \right)=\frac{P(A\cap B)}{P(B)}=\frac{\frac{2}{8}}{\frac{6}{8}}=\frac{1}{3}\]You need to login to perform this action.
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