Statistics And Probability Question 3

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} $

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Answer:

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} $ .