# theoretical probability of getting a 3

by Unnati Bhattarai
(Kathmandu, Nepal)

Find the probality of getting 3 in dice and head on coin when a dice is rolled
and a coin is tossed simultaneously .

### Comments for theoretical probability of getting a 3

 Nov 18, 2011 Probability by: Staff Question:by Unnati Bhattarai (Kathmandu, Nepal)Find the probality of getting 3 in dice and head on coin when a dice is rolled and a coin is tossed simultaneously .Answer:The theoretical probability of getting a 3 when a fair die is rolled is 1/6 The theoretical probability of getting a head when a fair coin is tossed is 1/2The combined theoretical probability of getting a 3 and a head when the die is rolled and the coin is tossed simultaneously is:(1/6) * (1/2) = 1/12The final answer to your question is: 1/12You may be interested in knowing that the empirical probability of tossing a coin is not equal to 1/2 (at least not for US coins).The empirical probability of getting a head is approximately = 53.5%The empirical probability of getting a tail is approximately = 46.5 %Apparently this difference is due to the weight distribution within the coin.Stanford University conducted a study of coin flips. You can download the results here: http://www-stat.stanford.edu/~susan/papers/headswithJ.pdfThanks for writing.Staff www.solving-math-problems.com