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) About Me  (Show Source):
You can put this solution on YOUR website!
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The probability getting double for one pair rolling is    6%2F36 = 1%2F6.


The probability getting 2 success throwing a pair 4 times is  


      C%5B4%5D%5E2%2A%281%2F6%29%5E2%2A%285%2F6%29%5E2 = 6%2A%281%2F6%29%5E2%2A%285%2F6%29%5E2 = 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".


Save the link to this textbook together with its description

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) About Me  (Show Source):
You can put this solution on YOUR website!

Binomial Distribution:
P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+ 
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.