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February 9th, 2014, 09:38 AM   #1
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Probability of 2 dice and grid/table?

Information: Two dice: one of the die has 6 values (numbers one to six) and has six faces, the other die has 4 values (the numbers are 1,1,2,3,6,6) and also six faces.

Question: Rolls both dice at the same time... what is the probability of a even number on the first dice and an odd number on the second dice?
Answer: P = 3/6 + 3/6 = 6/12?

Question: Rolls both dice at the same time... what is the probability of a number 3 on one dice and a number one on the other?
Answer: the first dice number 3. P = 1/6?
Answer: the second dice number one. P = 2/6?
= 3/12???

Question: Draw a 2-way table to illustrate all possible totals then both dice are thrown?
I know how to draw a 'fair' 2 dice table (link below) but don't know how to draw a table with one dice showing different values?

2 fair dice table.
http://01.edu-cdn.com/files/static/mcgr ... ITY_04.GIF
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February 9th, 2014, 12:23 PM   #2
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Re: Probability of 2 dice and grid/table?

Quote:
Originally Posted by jacob1988
Information: Two dice: one of the die has 6 values (numbers one to six) and has six faces, the other die has 4 values (the numbers are 1,1,2,3,6,6) and also six faces.

Question: Rolls both dice at the same time... what is the probability of a even number on the first dice and an odd number on the second dice?
Answer: P = 3/6 + 3/6 = 6/12?

Question: Rolls both dice at the same time... what is the probability of a number 3 on one dice and a number one on the other?
Answer: the first dice number 3. P = 1/6?
Answer: the second dice number one. P = 2/6?
= 3/12???

Question: Draw a 2-way table to illustrate all possible totals then both dice are thrown?
I know how to draw a 'fair' 2 dice table (link below) but don't know how to draw a table with one dice showing different values?

2 fair dice table.
http://01.edu-cdn.com/files/static/mcgr ... ITY_04.GIF
You need to learn some elementary probability theory. For starters: if you have two independent events (A and B) with probabilities P(A) and P(B), then the probability of both happening is P(A)xP(B).

For your first question: A = {even number on first die} P(A) = 1/2, B = {odd number on second die} P(B) = 1/2. Since A and B are independent, the probability of both happening = 1/4.

Similarly - second question: prob. (both) = (1/6)x(1/3) = 1/18.

For the table, you simply have a 4 x 6 table. {1,2,3,6} x {1,2,3,4,5,6}
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February 9th, 2014, 02:30 PM   #3
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Re: Probability of 2 dice and grid/table?

Hello, jacob1988!

Quote:
Two dice: one of the dice has 6 faces and numbers {1, 2, 3, 4, 5, 6}.
zyhe other die has 6 faces and numbers {1, 1, 2, 3, 6, 6).

Question: Both dice are rolled.
What is the probability of a even number on the first dice and an odd number on the second dice?

Answer: P = 3/6 + 3/6 = 6/12 ?[color=beige] . [/color][color=blue]What?[/color]






Quote:
Both dice are rolled.
What is the probability of a number 3 on one dice and a number one on the other?

There are two cases to consider.












Quote:
Draw a 2-way table to illustrate all possible totals when both dice are thrown.

[color=beige]. . [/color]

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February 9th, 2014, 03:06 PM   #4
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Re: Probability of 2 dice and grid/table?

Thank-you for the reply(s) I really profusely appreciate the help
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