What is the probability of a coin landing on the tail and the dice showing 2 when a coin is tossed and dice is thrown?

Category: QuestionsWhat is the probability of a coin landing on the tail and the dice showing 2 when a coin is tossed and dice is thrown?
Editor">Editor Staff asked 11 months ago

What is the probability of a coin landing on the tail and the dice showing 2 when a coin is tossed and dice is thrown?
 
(a) \frac {1}{12}
 
(b) \frac {8}{10}
 
(c) \frac {7}{1}
 
(d) \frac {4}{11}
 
I have been asked this question in an internship interview.
 
The query is from Probability topic in section Probability of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
Interview Questions and Answers, Database Interview Questions and Answers for Freshers and Experience

1 Answers
Editor">Editor Staff answered 11 months ago

The correct answer is (a) \frac {1}{12}
 
Best explanation: The probability of coin landing on the tail = \frac {1}{2}
 
The probability of the dice showing 2 = \frac {1}{6}
 
Total probability = \frac {1}{2} \times \frac {1}{6} = \frac {1}{12}