logo for solving-math-problems.com
leftimage for solving-math-problems.com

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

Click here to add your own comments

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 1/2


The 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) = 1/12


The final answer to your question is: 1/12



You 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.pdf




Thanks for writing.

Staff
www.solving-math-problems.com



Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com