Question

Two fair dice are numbered 1 to 6 the dices are rolled then added together
Jack says that there is equal likely of 3 and 9

Answer 1

Answer:

27.78%

Step-by-step explanation:

There are 6^2 = 36 possible outcomes of rolling two fair six-faced dice.

(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)

There are 10 outcomes with sum 9 or higher. There the required probability is 10/36 = 5/18 = nearly 27.78% chances of getting a sum of 9 or higher on rolling two 6-sided dice.

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