A) \[\frac{1}{2}\]
B) \[\frac{1}{6}\]
C) \[\frac{1}{12}\]
D) \[\frac{1}{24}\]
Correct Answer: C
Solution :
[c] Probability of getting a head on tossing a coin\[({{P}_{1}})=\frac{1}{2}\]. Probability of getting a six on rolling a dice\[({{P}_{2}})=\frac{1}{6}\]. These two events are independent. So the probability that the coin shows the head and the dice shows 6 is given by \[P={{P}_{1}}\times {{P}_{2}}=\frac{1}{2}\times \frac{1}{6}=\frac{1}{12}\].
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