Probability of 2 dice and grid table?

J

jacob_1988

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Please could someone double check to see if I have correctly answered the question below?

Question:A game involves two dice. One die is normal (numbered one to six), the other die is numbered with the first six prime numbers (2,3,5,7,11,13). Draw a two-way table to illustrate all the possible totals when both dice are thrown.


(a). Probability of the total which is an even number: P (even) = 18/36 = 1/2.
(b). Probability of the total which is less than 12: P = (less than 12) = 22/36 = 11/18.
(c). Probability of the total which is a prime number: P = (prime number) = 13/36.
 
jacob_1988 said:
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Please could someone double check to see if I have correctly answered the question below?

Question:A game involves two dice. One die is normal (numbered one to six), the other die is numbered with the first six prime numbers (2,3,5,7,11,13). Draw a two-way table to illustrate all the possible totals when both dice are thrown.


(a). Probability of the total which is an even number: P (even) = 18/36 = 1/2.
(b). Probability of the total which is less than 12: P = (less than 12) = 22/36 = 11/18.
(c). Probability of the total which is a prime number: P = (prime number) = 13/36.
Click to expand...

Looks good! :p
 
jacob_1988 said:
Please could someone double check to see if I have correctly answered the question below?

Question:A game involves two dice. One die is normal (numbered one to six), the other die is numbered with the first six prime numbers (2,3,5,7,11,13). Draw a two-way table to illustrate all the possible totals when both dice are thrown.
(a). Probability of the total which is an even number: P (even) = 18/36 = 1/2.
(b). Probability of the total which is less than 12: P = (less than 12) = 22/36 = 11/18.
(c). Probability of the total which is a prime number: P = (prime number) = 13/36.
Click to expand...

Here is a completely different way to check your results.

In the expanded form each term tells us about the outcomes.
The exponents tell us the possible sums and the coefficients tell how many ways that sum can be gotten.

For example, the term \(\displaystyle 3{x^9}\) tells us the sum of nine can be gotten in three ways, 2+7, 4+5, 6+3.
 
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