Probability Question 266
Question: A coin is tossed and a dice is rolled. The probability that the coin shows the head and the dice shows 6 is
Options:
A) $ \frac{1}{2} $
B) $ \frac{1}{6} $
C) $ \frac{1}{12} $
D) $ \frac{1}{24} $
Show Answer
Answer:
Correct Answer: C
Solution:
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} $ .
BETA
