SOLUTION: A pair of dice is to be rolled. (Give your answers as fractions.) (a) Find the probability of the sum P(2) of the two dice. (b) Find the probability of the sum P(3) of the two di

Algebra ->  Probability-and-statistics -> SOLUTION: A pair of dice is to be rolled. (Give your answers as fractions.) (a) Find the probability of the sum P(2) of the two dice. (b) Find the probability of the sum P(3) of the two di      Log On


   

Question 1192333: A pair of dice is to be rolled. (Give your answers as fractions.)
(a) Find the probability of the sum P(2) of the two dice.
(b) Find the probability of the sum P(3) of the two dice.
(c) Find the probability of the sum P(4) of the two dice.
(d) Find the probability of the sum P(5) of the two dice.
(e) Find the probability of the sum P(6) of the two dice.
(f) Find the probability of the sum P(7) of the two dice.
(g) Find the probability of the sum P(8) of the two dice.
(h) Find the probability of the sum P(9) of the two dice.
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

P(2) = 1%2F36

P(3) = 2%2F36

P(4) = 3%2F36

P(5) = 4%2F36

P(6) = 5%2F36

P(7) = 6%2F36

P(8) = 5%2F36

P(9) = 4%2F36

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On rolling dice problems see the lesson
    - Rolling a pair of fair dice
in this site.  You will find there many similar solved problems.


Read it and learn the subject from there.  After that,  you will be able easy solve such problems
ON  YOUR  OWN,  which is your  MAJOR  GOAL  visiting this forum  (I believe).


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 Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A pair of dice is to be rolled. (Give your answers as fractions.)
The possible sums are 2 to 12 inclusive ---> 11 possible sums.
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(a) Find the probability of the sum P(2) of the two dice.
Both must be 1 ---> 1/11
(b) Find the probability of the sum P(3) of the two dice.
Call them A & B:
A = 1 & B = 2 or vice versa --> 2 possibles ---> 2/11
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(c) Find the probability of the sum P(4) of the two dice.
A B
1 3
2 2
3 1
--> 3/11
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(d) Find the probability of the sum P(5) of the two dice.
A B
1 4
2 3
3 2
4 1
--> 4/11
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(e) Find the probability of the sum P(6) of the two dice.
A B
1 5
2 4
3 3
4 2
5 1
--> 5/11
---------
(f) Find the probability of the sum P(7) of the two dice.
(g) Find the probability of the sum P(8) of the two dice.
(h) Find the probability of the sum P(9) of the two dice.
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Do the rest the same way.