When the two number cubes are rolled, the one with the larger number is the winn

Question

When the two number cubes are rolled, the one with the larger number is the winner. In how many cases will the pink cube win over the blue cube? What is the probability that the blue cube would win on any given roll? Show how you figured it out. Ivan rolls the blue and pink cubes apron. What is the probability that the sum of the two numbers would be greater than 13? Explain how you found your answer. Silicon Valley Mathematics Initiative 2011. To reproduce this document, permission must be gratned by the SVMI

Explanation / Answer

Since nothing is given about pink and blue cube I am asuming both cubes are normal and there is no difference.

Answers:

Probable out comes are

Firsat cube pink , second cube blue

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

2. Since from the outcome it is clear that in15 cases out of 36 pink will win over blue

3. On a given roll out of 36 probable out come in 15 blue can win , so probability if Blue winning is 15/32.

4. since the maximum number in case of a normal die is 6 , the sum can have maximum value of 12, so probability of having sm 13 is zero.

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