A kindergarten is in "Six? On Children's Day, a parent-child activity is held, which is jointly completed by the baby and one of the parents (hereinafter referred to as parents). Kindergarten provides two game schemes:

In the first scheme, the baby and the parents throw a cube with uniform texture at the same time (the points on six faces are 1, 2, 3, 4, 5, 6 respectively), and the points obtained by the baby are marked as X, and the points obtained by the parents are marked as Y;

In the second scheme, the baby and the parents press the button of a calculator in their hands at the same time (this calculator can only generate the random real number in the interval [1, 6]), and the random real number generated by the baby calculator is marked as m, and the random real number generated by the parent calculator is marked as n 。

(1) Scheme 1: If x+l=2y, reward the baby with a small red flower, and find the probability that the baby will get a small red flower after throwing it once;

(2) Scheme 2: If m > 2n, reward the baby with an interesting book, and find out the probability that the baby will get an interesting book after pressing the button once.

Solution: There are six possibilities for each person to throw a result, x = 1, 2, 3, 4, 5, 6, y = 1, 2, 3, 4, 5, 6, and the total number of events is 36.

(I) the result of satisfying the equation x+l=2y is as follows.

(x，Y)=( 1， 1)，(3，2)，(5，3)，

∴ The probability of satisfying the equation is 3/36 =112.

[If the two points are out of order, the probability needs to be ×2, and the probability of satisfying the equation is 1/6. ]

(ii) The result of satisfying the inequality m > 2n is as follows

(X，Y)=(3， 1)，(4，2)，(5， 1)，(6， 1)，

(5,2) and (6,2),

The probability of satisfying the inequality is 6/36= 1/6.

[If the two points are out of order, the probability needs to be ×2, and the probability of satisfying the equation is 1/3. ]

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