SOLUTION: Suppose you roll four dice. What is the probability that the sum of the numbers showing is " 5 " or less?

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Question 1178803: Suppose you roll four dice. What is the probability that the sum of the numbers showing is " 5 " or less?
Answer by ikleyn(52805) About Me  (Show Source):
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The total space of events has  6*6*6*6 = 6^4 = 1296 elements, each with the probability of  p = 1%2F1296.


The favorable events are these 5 (five) events

    (1,1,1,1)
    (2,1,1,1)
    (1,2,1,1)
    (1,1,2,1)
    (1,1,1,2)


THEREFORE, the probability the problem asks for is  P = favorable%2Ftotal = 5%2F6%5E4 = 5%2F1296 = 0.003858  (rounded).      ANSWER

Solved.

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If you want to learn this subject and this class of problems  BETTER,  DEEPER  and  WIDER,  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.