SOLUTION: A pair of dice is thrown 4 times. If getting double is considered a success. Find the probability of 2 successes

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Question 1175252: A pair of dice is thrown 4 times. If getting double is considered a success. Find the probability of 2 successes
Found 2 solutions by ikleyn, ewatrrr:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

The probability getting double for one pair rolling is     = .


The probability getting 2 success throwing a pair 4 times is  


       =  = 0.115741 = 11.57%   (rounded).      ANSWER

Solved.

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On rolling dice and associated problems,  look into the lesson
    - Rolling a pair of fair dice
in this site.  You will find there many other similar solved problems.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic  "Solved problems on Probability".


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Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.



Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Binomial Distribution:
 
p and q are the probabilities of success and failure respectively. 
In this case p = 1/6 & q = 5/6  n = 4
 
Binomial Distribution: Use Your calculator.
P(x=2) with n = 4 and p = 1/6
Using Ti
 P(x=2) = binompdf(4, 1/6, 2)= .1157
Inexpensive and easy to use Casio fx-115 ES plus works similarly
Wish You the Best in your Studies.


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